Pith Number

pith:QA2TTVLW

pith:2010:QA2TTVLWPXQ7DM4SUAUZV25OEM

not attested not anchored not stored refs pending

Comparison of Cubical and Simplicial Derived Functors

Irakli Patchkoria

arxiv:1011.4870 v1 · 2010-11-22 · math.KT · math.AT · 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{QA2TTVLWPXQ7DM4SUAUZV25OEM}

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	2026-05-18T04:35:03.892153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

803539d5767de1f1b392a0299aebae232d4a4368f4ed1bc0ef6a1f7cf9b30bb3

Aliases

arxiv: 1011.4870 · arxiv_version: 1011.4870v1 · doi: 10.48550/arxiv.1011.4870 · pith_short_12: QA2TTVLWPXQ7 · pith_short_16: QA2TTVLWPXQ7DM4S · pith_short_8: QA2TTVLW

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/QA2TTVLWPXQ7DM4SUAUZV25OEM \
  | 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: 803539d5767de1f1b392a0299aebae232d4a4368f4ed1bc0ef6a1f7cf9b30bb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21788ed10b17df4c71279f210eb1d100324fbeec2411278135b14ab476e546f1",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2010-11-22T16:53:30Z",
    "title_canon_sha256": "3c3b702472dac70758ba86e0ad495c3b133b933c3cd6d1ab6e23911b8ef27e43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4870",
    "kind": "arxiv",
    "version": 1
  }
}