Pith Number

pith:YUV45BG5

pith:2006:YUV45BG5NRBCXGGKZQFBRWEOK3

not attested not anchored not stored refs pending

Bicat is not triequivalent to Gray

Stephen Lack

arxiv:math/0612299 v2 · 2006-12-12 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YUV45BG5NRBCXGGKZQFBRWEOK3}

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	2026-05-18T04:41:06.128788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c52bce84dd6c422b98cacc0a18d88e56c73e19fdbd604a1b2494fad9b8f2c51e

Aliases

arxiv: math/0612299 · arxiv_version: math/0612299v2 · doi: 10.48550/arxiv.math/0612299 · pith_short_12: YUV45BG5NRBC · pith_short_16: YUV45BG5NRBCXGGK · pith_short_8: YUV45BG5

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/YUV45BG5NRBCXGGKZQFBRWEOK3 \
  | 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: c52bce84dd6c422b98cacc0a18d88e56c73e19fdbd604a1b2494fad9b8f2c51e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "899faa51254267000f7c2b8209d6386efb79f755d107071bd51248a4e235f60b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CT",
    "submitted_at": "2006-12-12T08:23:06Z",
    "title_canon_sha256": "35c1c68bb4afd2ea6fd9bfd18cc11a7ca3d418e7a890f7fd9bd9449ba6ec21b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612299",
    "kind": "arxiv",
    "version": 2
  }
}