Pith Number

pith:GTRDOY3H

pith:2012:GTRDOY3HD7V7B5XXDBXRE2MGGG

not attested not anchored not stored refs pending

Categories of layered semirings

Louis Rowen, Manfred Knebusch, Zur Izhakian

arxiv:1207.3488 v1 · 2012-07-15 · math.RA · 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{GTRDOY3HD7V7B5XXDBXRE2MGGG}

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	2026-05-18T03:51:00.952775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34e23763671febf0f6f7186f12698631bb62787006a8828bd50dd8d69752b434

Aliases

arxiv: 1207.3488 · arxiv_version: 1207.3488v1 · doi: 10.48550/arxiv.1207.3488 · pith_short_12: GTRDOY3HD7V7 · pith_short_16: GTRDOY3HD7V7B5XX · pith_short_8: GTRDOY3H

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/GTRDOY3HD7V7B5XXDBXRE2MGGG \
  | 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: 34e23763671febf0f6f7186f12698631bb62787006a8828bd50dd8d69752b434

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5aba695ec80b1f1f0e02153684161646f4b909369b0f01968367c79b8dfd5612",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-07-15T09:54:13Z",
    "title_canon_sha256": "1902ca7244b748cbfe684982b97d28550c2a04c1119a4a416e674f3d7c13ce42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3488",
    "kind": "arxiv",
    "version": 1
  }
}