Pith Number

pith:US6CBDHZ

pith:2007:US6CBDHZMCGCFQIESSVKN6X6E4

not attested not anchored not stored refs pending

The Witten equation, mirror symmetry and quantum singularity theory

Huijun Fan, Tyler J. Jarvis, Yongbin Ruan

arxiv:0712.4021 v4 · 2007-12-24 · math.AG · hep-th · math-ph · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{US6CBDHZMCGCFQIESSVKN6X6E4}

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

1 paper in Pith

Beyond Algebraic Superstring Compactification: Part II

Receipt and verification

First computed	2026-05-18T03:50:09.425142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4bc208cf9608c22c10494aaa6fafe2703f1a9cdac12922728b6e681e138f9a1

Aliases

arxiv: 0712.4021 · arxiv_version: 0712.4021v4 · doi: 10.48550/arxiv.0712.4021 · pith_short_12: US6CBDHZMCGC · pith_short_16: US6CBDHZMCGCFQIE · pith_short_8: US6CBDHZ

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/US6CBDHZMCGCFQIESSVKN6X6E4 \
  | 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: a4bc208cf9608c22c10494aaa6fafe2703f1a9cdac12922728b6e681e138f9a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63e722e790198a8e3dd3ef7f2b5f33ade263fa186c10a519fb1317f433991815",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-12-24T20:18:06Z",
    "title_canon_sha256": "88fab655ce71100b2f2b026517f6736c37691f96a2e5a6fa89c6aa39810c8791"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.4021",
    "kind": "arxiv",
    "version": 4
  }
}