Pith Number

pith:UST35PX3

pith:2011:UST35PX3QMWU2GWROFJE3EYLVA

not attested not anchored not stored refs pending

Around Quillen's theorem A

Bruno Kahn (IMJ)

arxiv:1108.2441 v3 · 2011-08-11 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UST35PX3QMWU2GWROFJE3EYLVA}

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	2026-05-18T02:48:27.598938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4a7bebefb832d4d1ad171524d930ba80d2f57ba8bc8b2159e75ed106dbc82ff

Aliases

arxiv: 1108.2441 · arxiv_version: 1108.2441v3 · doi: 10.48550/arxiv.1108.2441 · pith_short_12: UST35PX3QMWU · pith_short_16: UST35PX3QMWU2GWR · pith_short_8: UST35PX3

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/UST35PX3QMWU2GWROFJE3EYLVA \
  | 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: a4a7bebefb832d4d1ad171524d930ba80d2f57ba8bc8b2159e75ed106dbc82ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2dcb80b63bd46effade0d45be21bc086ec9d34ee87534fdf905338834087a7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-08-11T16:11:12Z",
    "title_canon_sha256": "a4a63e8bf20c470932ed6667cda1368d6da8292b1f5a6cb2a9a4f3114e086242"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2441",
    "kind": "arxiv",
    "version": 3
  }
}