Pith Number

pith:VRBVI444

pith:2014:VRBVI4444GQPFZ4WU7F5XB44NE

not attested not anchored not stored refs pending

A note on non-unital absorbing extensions

James Gabe

arxiv:1408.4033 v2 · 2014-08-18 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRBVI4444GQPFZ4WU7F5XB44NE}

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	2026-05-18T01:05:46.507095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac4354739ce1a0f2e796a7cbdb879c691bb25c1fb59426889d218e5b77fa2ef3

Aliases

arxiv: 1408.4033 · arxiv_version: 1408.4033v2 · doi: 10.48550/arxiv.1408.4033 · pith_short_12: VRBVI4444GQP · pith_short_16: VRBVI4444GQPFZ4W · pith_short_8: VRBVI444

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/VRBVI4444GQPFZ4WU7F5XB44NE \
  | 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: ac4354739ce1a0f2e796a7cbdb879c691bb25c1fb59426889d218e5b77fa2ef3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41b1dbb90d2d9046d62c726dd19d052d172f89aca5824159dd699f75acd712c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-08-18T15:06:44Z",
    "title_canon_sha256": "b7c4e4cd0efec16fd04121b35e7bd66daa757d57753f3b948a59f23f9fbd2f67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4033",
    "kind": "arxiv",
    "version": 2
  }
}