Pith Number

pith:ITKFEON6

pith:2014:ITKFEON6HMAIFWOVSZ3JDR7KBB

not attested not anchored not stored refs pending

Free monoids are coherent

Miklos Hartmann, Nik Ruskuc, Victoria Gould

arxiv:1412.7340 v2 · 2014-12-23 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITKFEON6HMAIFWOVSZ3JDR7KBB}

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	2026-05-18T02:28:31.118197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44d45239be3b0082d9d5967691c7ea087ca6977fc49e1b2f78cbf9f7d0fe9bf8

Aliases

arxiv: 1412.7340 · arxiv_version: 1412.7340v2 · doi: 10.48550/arxiv.1412.7340 · pith_short_12: ITKFEON6HMAI · pith_short_16: ITKFEON6HMAIFWOV · pith_short_8: ITKFEON6

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/ITKFEON6HMAIFWOVSZ3JDR7KBB \
  | 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: 44d45239be3b0082d9d5967691c7ea087ca6977fc49e1b2f78cbf9f7d0fe9bf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bf17ebd7c580af45340647b929ceac2d559f480cc5a72ac5da79286fbd5e908",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-12-23T12:30:10Z",
    "title_canon_sha256": "5768fa8f619c1865fcd9a31fe3368fee78db9d5aed074431ed2e5860217e42e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7340",
    "kind": "arxiv",
    "version": 2
  }
}