Pith Number

pith:45MFKP4L

pith:2013:45MFKP4LUG6L5GEANFSVGORRUT

not attested not anchored not stored refs pending

Tropical Amplitudes

Piotr Tourkine

arxiv:1309.3551 v2 · 2013-09-13 · hep-th · 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{45MFKP4LUG6L5GEANFSVGORRUT}

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	2026-05-18T00:49:05.019612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e758553f8ba1bcbe98806965533a31a4f85c80ff8d184733f7a69a3abb00ea12

Aliases

arxiv: 1309.3551 · arxiv_version: 1309.3551v2 · doi: 10.48550/arxiv.1309.3551 · pith_short_12: 45MFKP4LUG6L · pith_short_16: 45MFKP4LUG6L5GEA · pith_short_8: 45MFKP4L

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/45MFKP4LUG6L5GEANFSVGORRUT \
  | 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: e758553f8ba1bcbe98806965533a31a4f85c80ff8d184733f7a69a3abb00ea12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "734a2f41f884e5031744b14e4010cf81b5a20b886ecfc7706efa374da47b0bfd",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-09-13T19:44:25Z",
    "title_canon_sha256": "ccd230fcf1779f55fb3530f06722cce84dfbc83a44ae5774b968308af917fcb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3551",
    "kind": "arxiv",
    "version": 2
  }
}