Pith Number

pith:F7G4R7CY

pith:2016:F7G4R7CYU44PGDJDIRYS2JOKVZ

not attested not anchored not stored refs pending

An Arctangent Law

Vassilis G. Papanicolaou

arxiv:1602.05500 v1 · 2016-02-16 · 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{F7G4R7CYU44PGDJDIRYS2JOKVZ}

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	2026-05-18T01:20:28.006057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fcdc8fc58a738f30d2344712d25caae4e9b53d68b77395bd14209a51a55ee3e

Aliases

arxiv: 1602.05500 · arxiv_version: 1602.05500v1 · doi: 10.48550/arxiv.1602.05500 · pith_short_12: F7G4R7CYU44P · pith_short_16: F7G4R7CYU44PGDJD · pith_short_8: F7G4R7CY

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/F7G4R7CYU44PGDJDIRYS2JOKVZ \
  | 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: 2fcdc8fc58a738f30d2344712d25caae4e9b53d68b77395bd14209a51a55ee3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f5934d7f2c06cd2fe9b376a90c9670a083bb5549e59ab7b21d4c9f0e89d5ba3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-02-16T15:18:43Z",
    "title_canon_sha256": "13baec755ecf97ad04b92c69693f4a88357301e66fd653b73ba6135177b2e6ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05500",
    "kind": "arxiv",
    "version": 1
  }
}