Pith Number

pith:AYDTCCI7

pith:2009:AYDTCCI7SNUJLW77F64MEVBAFM

not attested not anchored not stored refs pending

A relative theory of universal central extensions

Jose Manuel Casas, Tim Van der Linden

arxiv:0908.3762 v5 · 2009-08-26 · math.AT · 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{AYDTCCI7SNUJLW77F64MEVBAFM}

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	2026-05-18T03:43:29.761598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

060731091f936895dbff2fb8c254202b0ee49d774fd0bbbae128a50aa8ebe4f5

Aliases

arxiv: 0908.3762 · arxiv_version: 0908.3762v5 · doi: 10.48550/arxiv.0908.3762 · pith_short_12: AYDTCCI7SNUJ · pith_short_16: AYDTCCI7SNUJLW77 · pith_short_8: AYDTCCI7

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/AYDTCCI7SNUJLW77F64MEVBAFM \
  | 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: 060731091f936895dbff2fb8c254202b0ee49d774fd0bbbae128a50aa8ebe4f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0df072c8ee40b70126e1fac299af7326516d8b321177773db4fbe2f2bb6f453e",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-08-26T08:27:29Z",
    "title_canon_sha256": "fe9a3c88979b94990d1f2c44acf3a467270cd4802bfa6418c6689ea3c59c6cd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3762",
    "kind": "arxiv",
    "version": 5
  }
}