Pith Number

pith:DKP3PT6B

pith:2008:DKP3PT6BRKCCGQ73XKEEFS7L3F

not attested not anchored not stored refs pending

Commuting elements, simplicial spaces, and filtrations of classifying spaces

Alejandro Adem, Enrique Torres-Giese, Frederick R. Cohen

arxiv:0901.0137 v4 · 2008-12-31 · math.AT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DKP3PT6BRKCCGQ73XKEEFS7L3F}

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	2026-05-18T04:13:16.333758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a9fb7cfc18a842343fbba8842cbebd97397738fea152010a204d9c5683c47e9

Aliases

arxiv: 0901.0137 · arxiv_version: 0901.0137v4 · doi: 10.48550/arxiv.0901.0137 · pith_short_12: DKP3PT6BRKCC · pith_short_16: DKP3PT6BRKCCGQ73 · pith_short_8: DKP3PT6B

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/DKP3PT6BRKCCGQ73XKEEFS7L3F \
  | 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: 1a9fb7cfc18a842343fbba8842cbebd97397738fea152010a204d9c5683c47e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cc2867daf17162a4b2694b5e343257b6ed8eeda24bb35fe69f47a53f4123ae3",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2008-12-31T20:23:33Z",
    "title_canon_sha256": "77ad91315367718a6329cc3a5c7829ad61a0528938fe75f793b009809c142e24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0137",
    "kind": "arxiv",
    "version": 4
  }
}