Pith Number

pith:PKU6MRCI

pith:2013:PKU6MRCIFCPXRTDIVYWYO6OJNB

not attested not anchored not stored refs pending

A Gaussian distribution for refined DT invariants and 3D partitions

Andrew Morrison

arxiv:1303.3882 v1 · 2013-03-15 · math.AG · hep-th · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PKU6MRCIFCPXRTDIVYWYO6OJNB}

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	2026-05-18T01:51:06.704633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7aa9e64448289f78cc68ae2d8779c9687ade757b66cf055f88eac9b7afd85eef

Aliases

arxiv: 1303.3882 · arxiv_version: 1303.3882v1 · doi: 10.48550/arxiv.1303.3882 · pith_short_12: PKU6MRCIFCPX · pith_short_16: PKU6MRCIFCPXRTDI · pith_short_8: PKU6MRCI

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/PKU6MRCIFCPXRTDIVYWYO6OJNB \
  | 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: 7aa9e64448289f78cc68ae2d8779c9687ade757b66cf055f88eac9b7afd85eef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84b549ae5bdda222f328a879213ea60f3d4bb308cdf8de4dcf57a0d44b025922",
    "cross_cats_sorted": [
      "hep-th",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-15T19:53:27Z",
    "title_canon_sha256": "958971126764970b4dc00cd9b1dcc9f4254204ed066b55655022839e12517929"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3882",
    "kind": "arxiv",
    "version": 1
  }
}