Pith Number

pith:6JLGQFHE

pith:2014:6JLGQFHESZCTMN2UV7233CQJNV

not attested not anchored not stored refs pending

The Eynard-Orantin recursion and equivariant mirror symmetry for the projective line

Bohan Fang, Chiu-Chu Melissa Liu, Zhengyu Zong

arxiv:1411.3557 v3 · 2014-11-13 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6JLGQFHESZCTMN2UV7233CQJNV}

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	2026-05-18T00:42:33.605281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2566814e49645363754aff5bd8a096d45de75875ef856a713e3802ae75f74ab

Aliases

arxiv: 1411.3557 · arxiv_version: 1411.3557v3 · doi: 10.48550/arxiv.1411.3557 · pith_short_12: 6JLGQFHESZCT · pith_short_16: 6JLGQFHESZCTMN2U · pith_short_8: 6JLGQFHE

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/6JLGQFHESZCTMN2UV7233CQJNV \
  | 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: f2566814e49645363754aff5bd8a096d45de75875ef856a713e3802ae75f74ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de94601e189c7be66bb8c1b59c58b6bd7fabbdb026f8ad6b99f3e16d6f135a69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-11-13T14:38:23Z",
    "title_canon_sha256": "59e72717ba01c50c6e00f9a9d13863985fc4ab64fda2c728236c4c3aa0493239"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3557",
    "kind": "arxiv",
    "version": 3
  }
}