Pith Number

pith:CZMLCRM4

pith:2012:CZMLCRM4W5AAEGSQ3SH5YOMFLC

not attested not anchored not stored refs pending

Totalization of simplicial homotopy types

Andrew Salch, Crichton Ogle

arxiv:1205.0484 v3 · 2012-05-02 · math.AT · 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{CZMLCRM4W5AAEGSQ3SH5YOMFLC}

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	2026-05-18T02:41:24.968234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1658b1459cb740021a50dc8fdc39855885acf5b5f792241752c0d93d2321aa6c

Aliases

arxiv: 1205.0484 · arxiv_version: 1205.0484v3 · doi: 10.48550/arxiv.1205.0484 · pith_short_12: CZMLCRM4W5AA · pith_short_16: CZMLCRM4W5AAEGSQ · pith_short_8: CZMLCRM4

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/CZMLCRM4W5AAEGSQ3SH5YOMFLC \
  | 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: 1658b1459cb740021a50dc8fdc39855885acf5b5f792241752c0d93d2321aa6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38fd0b97b2f9ff318dcc4deab7d7a660d91c020d07b0e1bfa0d6b8e64039519c",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-05-02T16:32:38Z",
    "title_canon_sha256": "b84a94babd8a5e45cd017e3276ff34fb8dc0d8430f1f5f943b2fb575be000aa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0484",
    "kind": "arxiv",
    "version": 3
  }
}