Pith Number

pith:QXLIOGO3

pith:2014:QXLIOGO3YTYYSPFVBUT6XZBFAS

not attested not anchored not stored refs pending

Pointed Homotopy of Maps Between 2-Crossed Modules of Commutative Algebras

\.I.\.Ilker Ak\c{c}a, Jo\~ao Faria Martins, Kadir Emir

arxiv:1411.6931 v2 · 2014-11-25 · math.CT · 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{QXLIOGO3YTYYSPFVBUT6XZBFAS}

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	2026-05-18T00:44:10.213340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85d68719dbc4f1893cb50d27ebe425049a4f86c9892e83ec477ea59b60cb950c

Aliases

arxiv: 1411.6931 · arxiv_version: 1411.6931v2 · doi: 10.48550/arxiv.1411.6931 · pith_short_12: QXLIOGO3YTYY · pith_short_16: QXLIOGO3YTYYSPFV · pith_short_8: QXLIOGO3

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/QXLIOGO3YTYYSPFVBUT6XZBFAS \
  | 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: 85d68719dbc4f1893cb50d27ebe425049a4f86c9892e83ec477ea59b60cb950c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad32f8823faa156588d2497f2d8f225c6c5f09421e320bd866b97d8809fd6f8b",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2014-11-25T17:26:40Z",
    "title_canon_sha256": "995657d17bfeaf2694e7665799e5b84368d5b55880459b4ea60ef67d2da49f9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6931",
    "kind": "arxiv",
    "version": 2
  }
}