Pith Number

pith:IYTBC3HE

pith:2014:IYTBC3HEKVTJBCS6EWNYROGNMJ

not attested not anchored not stored refs pending

Mirror Symmetry Constructions

Emily Clader, Yongbin Ruan

arxiv:1412.1268 v2 · 2014-12-03 · math.AG · hep-th · 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{IYTBC3HEKVTJBCS6EWNYROGNMJ}

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.

Receipt and verification

First computed	2026-05-18T01:31:30.082065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4626116ce45566908a5e259b88b8cd6269e7b9772062c81153a1023ba374bdcc

Aliases

arxiv: 1412.1268 · arxiv_version: 1412.1268v2 · doi: 10.48550/arxiv.1412.1268 · pith_short_12: IYTBC3HEKVTJ · pith_short_16: IYTBC3HEKVTJBCS6 · pith_short_8: IYTBC3HE

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/IYTBC3HEKVTJBCS6EWNYROGNMJ \
  | 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: 4626116ce45566908a5e259b88b8cd6269e7b9772062c81153a1023ba374bdcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26a147918482e8ab099e9adf2bf301c6818231be98ffde163628f3073881cfc0",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-12-03T10:49:24Z",
    "title_canon_sha256": "9f2ce542db36c2fae7bd150f8e74e698290e2d225ae6675ac32073844b4e00da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1268",
    "kind": "arxiv",
    "version": 2
  }
}