Pith Number

pith:BRDB7S2R

pith:2012:BRDB7S2RLQBQBPGYTW4MFGZDWA

not attested not anchored not stored refs pending

Completely monotone functions - a digest

Milan Merkle

arxiv:1211.0900 v1 · 2012-11-02 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BRDB7S2RLQBQBPGYTW4MFGZDWA}

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	2026-05-18T01:44:20.844227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c461fcb515c0300bcd89db8c29b23b022134aad648050dbe0909517dc99d8e0

Aliases

arxiv: 1211.0900 · arxiv_version: 1211.0900v1 · doi: 10.48550/arxiv.1211.0900 · pith_short_12: BRDB7S2RLQBQ · pith_short_16: BRDB7S2RLQBQBPGY · pith_short_8: BRDB7S2R

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/BRDB7S2RLQBQBPGYTW4MFGZDWA \
  | 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: 0c461fcb515c0300bcd89db8c29b23b022134aad648050dbe0909517dc99d8e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2a73c6354c9a00c53bf48d147e23eb66a77bd1aedeb0b225bab04cbe01faa10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-11-02T14:31:59Z",
    "title_canon_sha256": "8340c56a18391ebf14e30d2b4a407072a43f7e5635294225a1fd0b020c2382d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0900",
    "kind": "arxiv",
    "version": 1
  }
}