Pith Number

pith:Z2W4RQLJ

pith:2015:Z2W4RQLJAEQNNNVSGQ57CI3KF5

not attested not anchored not stored refs pending

Valuation Semirings

Peyman Nasehpour

arxiv:1509.03354 v3 · 2015-09-10 · math.AC · math.GR · 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{Z2W4RQLJAEQNNNVSGQ57CI3KF5}

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	2026-05-18T00:44:46.148958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceadc8c1690120d6b6b2343bf1236a2f5ad2c8b8ee756b33366de00e514799a2

Aliases

arxiv: 1509.03354 · arxiv_version: 1509.03354v3 · doi: 10.48550/arxiv.1509.03354 · pith_short_12: Z2W4RQLJAEQN · pith_short_16: Z2W4RQLJAEQNNNVS · pith_short_8: Z2W4RQLJ

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/Z2W4RQLJAEQNNNVSGQ57CI3KF5 \
  | 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: ceadc8c1690120d6b6b2343bf1236a2f5ad2c8b8ee756b33366de00e514799a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b63f3627eba21d7cf818428bc3368517f7eb76b6f1079fc47043ca9a0a0a1270",
    "cross_cats_sorted": [
      "math.GR",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-09-10T22:32:26Z",
    "title_canon_sha256": "99412f56437645217919908f6265e7803090f08d4562e09b0b25a39fe8b3fdaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03354",
    "kind": "arxiv",
    "version": 3
  }
}