Pith Number

pith:VLOVFFDE

pith:2019:VLOVFFDE4UUBD3JPFEQG7CBJRC

not attested not anchored not stored refs pending

A guide to tensor-triangular classification

Paul Balmer

arxiv:1912.08963 v1 · 2019-12-19 · math.AT · math.AG · math.CT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VLOVFFDE4UUBD3JPFEQG7CBJRC}

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	2026-07-05T00:27:22.116591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aadd529464e52811ed2f29206f882988bb1cb848b432dd4d3f001d499db1f15d

Aliases

arxiv: 1912.08963 · arxiv_version: 1912.08963v1 · doi: 10.48550/arxiv.1912.08963 · pith_short_12: VLOVFFDE4UUB · pith_short_16: VLOVFFDE4UUBD3JP · pith_short_8: VLOVFFDE

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/VLOVFFDE4UUBD3JPFEQG7CBJRC \
  | 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: aadd529464e52811ed2f29206f882988bb1cb848b432dd4d3f001d499db1f15d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a270ab78a5792b6fb425507b7445100f417c70c6e82ac4b5b79eef61e83538d",
    "cross_cats_sorted": [
      "math.AG",
      "math.CT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-12-19T00:41:05Z",
    "title_canon_sha256": "fd2155af508e0c86986044155ab24cc77da7bf02c5d4d0df627d84d6e74e7012"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.08963",
    "kind": "arxiv",
    "version": 1
  }
}