Pith Number

pith:7G2A7ZZ6

pith:2022:7G2A7ZZ6IK766RWIZRU6DSUZMY

not attested not anchored not stored refs pending

Semiring systems arising from hyperrings

Louis Rowen, Marianne Akian, Stephane Gaubert

arxiv:2207.06739 v2 · 2022-07-14 · 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{7G2A7ZZ6IK766RWIZRU6DSUZMY}

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	2026-07-05T06:04:51.273148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9b40fe73e42bfef46c8cc69e1ca99663d0dfe1629f7299618d5ddd04d2530fd

Aliases

arxiv: 2207.06739 · arxiv_version: 2207.06739v2 · doi: 10.48550/arxiv.2207.06739 · pith_short_12: 7G2A7ZZ6IK76 · pith_short_16: 7G2A7ZZ6IK766RWI · pith_short_8: 7G2A7ZZ6

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/7G2A7ZZ6IK766RWIZRU6DSUZMY \
  | 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: f9b40fe73e42bfef46c8cc69e1ca99663d0dfe1629f7299618d5ddd04d2530fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37898c7342f944e0d240a5022602e1d92b248dc224f9e47f11f7d3e8c932fa09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2022-07-14T08:48:08Z",
    "title_canon_sha256": "3d1ba81cdd761314b65b43143142036ae5d6450167afb09ac570c59742fdf9ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.06739",
    "kind": "arxiv",
    "version": 2
  }
}