Pith Number

pith:5PII5QZW

pith:2008:5PII5QZWRI5KCESL22NAUAGCWU

not attested not anchored not stored refs pending

Kan replacement of simplicial manifolds

Chenchang Zhu

arxiv:0812.4150 v3 · 2008-12-22 · math.DG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PII5QZWRI5KCESL22NAUAGCWU}

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	2026-05-18T02:15:04.036473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebd08ec3368a3aa1124bd69a0a00c2b50ba33544039205c835fbcabc58d643a0

Aliases

arxiv: 0812.4150 · arxiv_version: 0812.4150v3 · doi: 10.48550/arxiv.0812.4150 · pith_short_12: 5PII5QZWRI5K · pith_short_16: 5PII5QZWRI5KCESL · pith_short_8: 5PII5QZW

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/5PII5QZWRI5KCESL22NAUAGCWU \
  | 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: ebd08ec3368a3aa1124bd69a0a00c2b50ba33544039205c835fbcabc58d643a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49a06e83043a5a68c1edbc18c38234c4c4051e122f35b48ffda659470107c5ac",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-12-22T11:02:15Z",
    "title_canon_sha256": "b1627964685ad75971fb22179bb8a04f60af7f1e894d8d30e7cb1f65b66941ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.4150",
    "kind": "arxiv",
    "version": 3
  }
}