Pith Number

pith:JCT7WTNM

pith:2012:JCT7WTNM3VQTZWTGPK7RIQJ73P

not attested not anchored not stored refs pending

Applications of the Defect of a Finitely Presented Functor

Jeremy Russell

arxiv:1211.0054 v3 · 2012-10-31 · 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{JCT7WTNM3VQTZWTGPK7RIQJ73P}

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	2026-05-18T01:13:10.077675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48a7fb4dacdd613cda667abf14413fdbf804c0c873d299c66101e3a9d136fe80

Aliases

arxiv: 1211.0054 · arxiv_version: 1211.0054v3 · doi: 10.48550/arxiv.1211.0054 · pith_short_12: JCT7WTNM3VQT · pith_short_16: JCT7WTNM3VQTZWTG · pith_short_8: JCT7WTNM

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/JCT7WTNM3VQTZWTGPK7RIQJ73P \
  | 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: 48a7fb4dacdd613cda667abf14413fdbf804c0c873d299c66101e3a9d136fe80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f58919d3691091c6dc1103817ee7bd5ad2a04f5e456478e2a4661d38938fa44",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-10-31T23:26:43Z",
    "title_canon_sha256": "7fef46ae258355705ebd6e79ba06269c3a2eeaa8a2c82da92005be43ed3e135f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0054",
    "kind": "arxiv",
    "version": 3
  }
}