Pith Number

pith:Z4NYKTEO

pith:2018:Z4NYKTEOYIKLQD5PEWLIWKS7JI

not attested not anchored not stored refs pending

Associative, idempotent, symmetric, and order-preserving operations on chains

Bruno Teheux, Jimmy Devillet

arxiv:1805.11936 v1 · 2018-05-30 · 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{Z4NYKTEOYIKLQD5PEWLIWKS7JI}

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	2026-05-18T00:14:35.711106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf1b854c8ec214b80faf25968b2a5f4a0370c2116a6ce4a673fe5e6f33771a8f

Aliases

arxiv: 1805.11936 · arxiv_version: 1805.11936v1 · doi: 10.48550/arxiv.1805.11936 · pith_short_12: Z4NYKTEOYIKL · pith_short_16: Z4NYKTEOYIKLQD5P · pith_short_8: Z4NYKTEO

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/Z4NYKTEOYIKLQD5PEWLIWKS7JI \
  | 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: cf1b854c8ec214b80faf25968b2a5f4a0370c2116a6ce4a673fe5e6f33771a8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "319661ffd3642b17306341d04dc8067c8449de5db99da87eb2ceb0819a9eb5a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-05-30T13:18:59Z",
    "title_canon_sha256": "f49600ef29d44b4dab7821b70527a9c8bbc3f04cf71c565c619996aea10610d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.11936",
    "kind": "arxiv",
    "version": 1
  }
}