Pith Number

pith:3KCNZMVF

pith:2015:3KCNZMVFK6DKHY7T7TE5PORDJR

not attested not anchored not stored refs pending

From $r$-Spin Intersection Numbers to Hodge Integrals

Lingxian Meng, Xiang-Mao Ding, Yuping Li

arxiv:1507.04093 v2 · 2015-07-15 · hep-th · math-ph · math.AG · 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{3KCNZMVFK6DKHY7T7TE5PORDJR}

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	2026-05-18T01:22:01.253725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da84dcb2a55786a3e3f3fcc9d7ba234c533e93e1e87288dfa60733c08098bbca

Aliases

arxiv: 1507.04093 · arxiv_version: 1507.04093v2 · doi: 10.48550/arxiv.1507.04093 · pith_short_12: 3KCNZMVFK6DK · pith_short_16: 3KCNZMVFK6DKHY7T · pith_short_8: 3KCNZMVF

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/3KCNZMVFK6DKHY7T7TE5PORDJR \
  | 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: da84dcb2a55786a3e3f3fcc9d7ba234c533e93e1e87288dfa60733c08098bbca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e45b27666c34c5fb60a54a4b4fdd2f31f0a7768630e6021bdf3ec185752503aa",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-07-15T06:13:02Z",
    "title_canon_sha256": "3f435b87bd0d10cf89cde7da76d16c6b463df34855ac539039997d095ac4dc9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04093",
    "kind": "arxiv",
    "version": 2
  }
}