Pith Number

pith:7HH3XTDM

pith:2016:7HH3XTDMAZM4UXPLV22SPIVF56

not attested not anchored not stored refs pending

Semigroups --- A Computational Approach

Florian Kohl, Johannes Rauh, Ruriko Yoshida, Yanxi Li

arxiv:1608.03297 v2 · 2016-08-10 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7HH3XTDMAZM4UXPLV22SPIVF56}

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	2026-05-17T23:52:29.532566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9cfbbcc6c0659ca5debaeb527a2a5ef89f849171ebb481ecd26ab335f945e3e

Aliases

arxiv: 1608.03297 · arxiv_version: 1608.03297v2 · doi: 10.48550/arxiv.1608.03297 · pith_short_12: 7HH3XTDMAZM4 · pith_short_16: 7HH3XTDMAZM4UXPL · pith_short_8: 7HH3XTDM

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/7HH3XTDMAZM4UXPLV22SPIVF56 \
  | 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: f9cfbbcc6c0659ca5debaeb527a2a5ef89f849171ebb481ecd26ab335f945e3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f3a20622b77396bca562b7e80f37b171b1887365ad8ef49930c6cf11f8cc622",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-10T20:23:28Z",
    "title_canon_sha256": "45dd9fb18b8e12dbbf3604aa612c8a437db0b8f03239ddfebeeeb89faabae51d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03297",
    "kind": "arxiv",
    "version": 2
  }
}