Pith Number

pith:PLJS2SDC

pith:2011:PLJS2SDCBLTRBGANNWTFSXMD3Q

not attested not anchored not stored refs pending

Topological Recursion Relations on $\bar{\cal M}_{3,2}$

Takashi Kimura, Xiaobo Liu

arxiv:1104.4378 v2 · 2011-04-22 · math.DG · 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{PLJS2SDCBLTRBGANNWTFSXMD3Q}

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	2026-05-18T01:53:28.621665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ad32d48620ae710980d6da6595d83dc20c3ec0a593e3fb0e35035415528073b

Aliases

arxiv: 1104.4378 · arxiv_version: 1104.4378v2 · doi: 10.48550/arxiv.1104.4378 · pith_short_12: PLJS2SDCBLTR · pith_short_16: PLJS2SDCBLTRBGAN · pith_short_8: PLJS2SDC

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/PLJS2SDCBLTRBGANNWTFSXMD3Q \
  | 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: 7ad32d48620ae710980d6da6595d83dc20c3ec0a593e3fb0e35035415528073b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6624899712619714d039b7a70026dbc36e8ae644a0616c25690923868fe1629",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-04-22T02:49:48Z",
    "title_canon_sha256": "e3e82c521798a68ed2368cb7c216589b8bf38fde2ac740e5a28eac663b71de95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4378",
    "kind": "arxiv",
    "version": 2
  }
}