Pith Number

pith:4KJEXNN6

pith:2015:4KJEXNN6VJLEPO67IP3TLOW7I7

not attested not anchored not stored refs pending

An explicit description of the second cohomology group of a quandle

Agust\'in Garc\'ia Iglesias, Leandro Vendramin

arxiv:1512.01262 v3 · 2015-12-03 · math.QA · 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{4KJEXNN6VJLEPO67IP3TLOW7I7}

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	2026-05-18T00:19:19.641449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2924bb5beaa5647bbdf43f735badf47e0db1e2843c64590ff08b5f87954f90c

Aliases

arxiv: 1512.01262 · arxiv_version: 1512.01262v3 · doi: 10.48550/arxiv.1512.01262 · pith_short_12: 4KJEXNN6VJLE · pith_short_16: 4KJEXNN6VJLEPO67 · pith_short_8: 4KJEXNN6

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/4KJEXNN6VJLEPO67IP3TLOW7I7 \
  | 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: e2924bb5beaa5647bbdf43f735badf47e0db1e2843c64590ff08b5f87954f90c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c3b5e2905bab8d79f74cda76b15fb7727028a559f82cf88a6709db8d798f00c",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-12-03T21:42:17Z",
    "title_canon_sha256": "b264f0e385cad1607fcc8f68c7bfa608d3ed964f2018156d34ab0cd7dc31d82f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01262",
    "kind": "arxiv",
    "version": 3
  }
}