Pith Number

pith:B3F2AVVC

pith:2018:B3F2AVVCWSQYIQOE4WFBMLAFJI

not attested not anchored not stored refs pending

Random Bernstein-Markov factors

Igor Pritsker, Koushik Ramachandran

arxiv:1810.09931 v1 · 2018-10-23 · math.CV · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B3F2AVVCWSQYIQOE4WFBMLAFJI}

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	2026-05-18T00:02:28.922964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ecba056a2b4a18441c4e58a162c054a309a42f64176610488d482b255e42f65

Aliases

arxiv: 1810.09931 · arxiv_version: 1810.09931v1 · doi: 10.48550/arxiv.1810.09931 · pith_short_12: B3F2AVVCWSQY · pith_short_16: B3F2AVVCWSQYIQOE · pith_short_8: B3F2AVVC

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/B3F2AVVCWSQYIQOE4WFBMLAFJI \
  | 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: 0ecba056a2b4a18441c4e58a162c054a309a42f64176610488d482b255e42f65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "843c1fdcaf5a2d466e2ebf9a9becc851c907b71c8113d9d31526764ed69456c9",
    "cross_cats_sorted": [
      "math.CA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-10-23T15:55:03Z",
    "title_canon_sha256": "adbc79dafa4902ea8eaa48fd70a15e25addff7aada6f8ac9571ef0d733d6dca7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.09931",
    "kind": "arxiv",
    "version": 1
  }
}