Pith Number

pith:CUEM3WZH

pith:2009:CUEM3WZHHNKPHB442RWIYK33LV

not attested not anchored not stored refs pending

FJRW-rings and Mirror Symmetry

(2) Brigham Young University), Himal Rathnakumara (2) ((1) University of Michigan, Marc Krawitz (1), Natalie Bergin (2), Nathan Priddis (2), Pedro Acosta (2)

arxiv:0903.3220 v2 · 2009-03-18 · math.AG · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CUEM3WZHHNKPHB442RWIYK33LV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

Chern Characteristics and Todd-Hirzebruch Identities for Transpolar Pairs of Toric Spaces

Beyond Algebraic Superstring Compactification: Part II

Receipt and verification

First computed	2026-05-17T23:45:55.675216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1508cddb273b54f3879cd46c8c2b7b5d6cd68c1e6e7f1bda2744870d8e7bf9aa

Aliases

arxiv: 0903.3220 · arxiv_version: 0903.3220v2 · doi: 10.48550/arxiv.0903.3220 · pith_short_12: CUEM3WZHHNKP · pith_short_16: CUEM3WZHHNKPHB44 · pith_short_8: CUEM3WZH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CUEM3WZHHNKPHB442RWIYK33LV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1508cddb273b54f3879cd46c8c2b7b5d6cd68c1e6e7f1bda2744870d8e7bf9aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f834b0badf7a1f7905415dd4017d4b2a4a8d473b3805ae69590f2c1e1b8e952e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-03-18T18:41:23Z",
    "title_canon_sha256": "11663d6be3229456dd21afac50d7b3a77109936933920a59a5c305cc19ca61a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.3220",
    "kind": "arxiv",
    "version": 2
  }
}