Pith Number

pith:JW4AM3AW

pith:2015:JW4AM3AWDZDQH5I5FWTLMVM5AI

not attested not anchored not stored refs pending

Multisemigroups with multiplicities and complete ordered semi-rings

Love Forsberg

arxiv:1510.01478 v1 · 2015-10-06 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JW4AM3AWDZDQH5I5FWTLMVM5AI}

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	2026-05-18T01:30:56.843406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4db8066c161e4703f51d2da6b6559d021f425042cee645fd3cbbb6149b68023a

Aliases

arxiv: 1510.01478 · arxiv_version: 1510.01478v1 · doi: 10.48550/arxiv.1510.01478 · pith_short_12: JW4AM3AWDZDQ · pith_short_16: JW4AM3AWDZDQH5I5 · pith_short_8: JW4AM3AW

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/JW4AM3AWDZDQH5I5FWTLMVM5AI \
  | 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: 4db8066c161e4703f51d2da6b6559d021f425042cee645fd3cbbb6149b68023a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83f2065e68a1cd77c89130a87034c38ad422aefc857cad26ddd78ae48d97c015",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-10-06T08:51:27Z",
    "title_canon_sha256": "bb243b82c87be3a6f964e5a6352363445644daaae4e9a6e88794f693961386e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01478",
    "kind": "arxiv",
    "version": 1
  }
}