Pith Number

pith:7ZUV4UTY

pith:2011:7ZUV4UTYTC65N5ET5C6IDLGZHJ

not attested not anchored not stored refs pending

The univalence axiom in posetal model categories

Assaf Hasson, Itay Kaplan, Misha Gavrilovich

arxiv:1111.3489 v1 · 2011-11-15 · 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{7ZUV4UTYTC65N5ET5C6IDLGZHJ}

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	2026-05-18T04:08:14.025573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe695e527898bdd6f493e8bc81acd93a6685b9965663504d097b62df9f363538

Aliases

arxiv: 1111.3489 · arxiv_version: 1111.3489v1 · doi: 10.48550/arxiv.1111.3489 · pith_short_12: 7ZUV4UTYTC65 · pith_short_16: 7ZUV4UTYTC65N5ET · pith_short_8: 7ZUV4UTY

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/7ZUV4UTYTC65N5ET5C6IDLGZHJ \
  | 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: fe695e527898bdd6f493e8bc81acd93a6685b9965663504d097b62df9f363538

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08aca238afc6527a0b260ac1485a08393acfda2b0ad0a2289b1e9564f01d8de7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-11-15T10:21:54Z",
    "title_canon_sha256": "6cd9d35a4d06d173cb78021114086fed6aebf88e335dd902869f83eff3e88205"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3489",
    "kind": "arxiv",
    "version": 1
  }
}