Pith Number

pith:MP4W4VLK

pith:2013:MP4W4VLKOAGXBXLJMOGDGZOUAB

not attested not anchored not stored refs pending

Log canonical threshold, Segre classes, and polygamma functions

Paolo Aluffi

arxiv:1308.4153 v1 · 2013-08-19 · 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{MP4W4VLKOAGXBXLJMOGDGZOUAB}

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	2026-05-18T00:25:12.203136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63f96e556a700d70dd69638c3365d4007624637f450b6846ef69fe8f960f4230

Aliases

arxiv: 1308.4153 · arxiv_version: 1308.4153v1 · doi: 10.48550/arxiv.1308.4153 · pith_short_12: MP4W4VLKOAGX · pith_short_16: MP4W4VLKOAGXBXLJ · pith_short_8: MP4W4VLK

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/MP4W4VLKOAGXBXLJMOGDGZOUAB \
  | 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: 63f96e556a700d70dd69638c3365d4007624637f450b6846ef69fe8f960f4230

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "951788c39c444beb1b116258399fd620f1e467eaa5c244d2d9b9dd65196c1c53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-08-19T20:00:33Z",
    "title_canon_sha256": "013178bd502bc31358724eab909f55900d2f2f3126fffa6e4f00788dab07f176"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4153",
    "kind": "arxiv",
    "version": 1
  }
}