Pith Number

pith:I3YAI2M3

pith:2013:I3YAI2M3YI7J77ZX6J2MAAFVBQ

not attested not anchored not stored refs pending

On categorical semigroups

A. Kostin, B. Novikov

arxiv:1312.1511 v1 · 2013-12-05 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I3YAI2M3YI7J77ZX6J2MAAFVBQ}

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	2026-05-18T03:05:27.086005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46f004699bc23e9fff37f274c000b50c3177b1501d2e69265765ccfbb2b270dd

Aliases

arxiv: 1312.1511 · arxiv_version: 1312.1511v1 · doi: 10.48550/arxiv.1312.1511 · pith_short_12: I3YAI2M3YI7J · pith_short_16: I3YAI2M3YI7J77ZX · pith_short_8: I3YAI2M3

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/I3YAI2M3YI7J77ZX6J2MAAFVBQ \
  | 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: 46f004699bc23e9fff37f274c000b50c3177b1501d2e69265765ccfbb2b270dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac84aa8b1f6a586808e12c3a989b0c7f8c0c52486de25c9a1edc24e7a5803680",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-12-05T11:58:02Z",
    "title_canon_sha256": "5410928fab0fa46bba5a5852074c92817cfd1d3202abd6530693ff77187ab869"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1511",
    "kind": "arxiv",
    "version": 1
  }
}