Pith Number

pith:UIKDWYTL

pith:2015:UIKDWYTLH6CNYRZYR3X4FU7SVM

not attested not anchored not stored refs pending

Covariant algebra of the binary nonic and the binary decimic

Marc Olive, Reynald Lercier

arxiv:1509.08749 v1 · 2015-09-29 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UIKDWYTLH6CNYRZYR3X4FU7SVM}

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	2026-05-18T01:31:47.219765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2143b626b3f84dc47388eefc2d3f2ab3e085ae92f349f725346bcf4e2ab05fb

Aliases

arxiv: 1509.08749 · arxiv_version: 1509.08749v1 · doi: 10.48550/arxiv.1509.08749 · pith_short_12: UIKDWYTLH6CN · pith_short_16: UIKDWYTLH6CNYRZY · pith_short_8: UIKDWYTL

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/UIKDWYTLH6CNYRZYR3X4FU7SVM \
  | 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: a2143b626b3f84dc47388eefc2d3f2ab3e085ae92f349f725346bcf4e2ab05fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42fefbf7528fc1de76803e89afdb8e09c3adf53dd27df42a522d914b9a34fa25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-29T13:49:25Z",
    "title_canon_sha256": "cb32b9b3a40f326fa6660598beab416d3274c2862c5f9e8a4e22ae61a14e1fd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08749",
    "kind": "arxiv",
    "version": 1
  }
}