Pith Number

pith:JEK2NOH7

pith:2012:JEK2NOH7UNQHAFSAIFDCXKOAJU

not attested not anchored not stored refs pending

Tangent measures of typical measures

Tuomas Sahlsten

arxiv:1203.4221 v3 · 2012-03-19 · 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{JEK2NOH7UNQHAFSAIFDCXKOAJU}

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	2026-05-18T02:32:22.798466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4915a6b8ffa36070164041462ba9c04d2a7f8ddac0ce5b41c794bae6c5b176dc

Aliases

arxiv: 1203.4221 · arxiv_version: 1203.4221v3 · doi: 10.48550/arxiv.1203.4221 · pith_short_12: JEK2NOH7UNQH · pith_short_16: JEK2NOH7UNQHAFSA · pith_short_8: JEK2NOH7

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/JEK2NOH7UNQHAFSAIFDCXKOAJU \
  | 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: 4915a6b8ffa36070164041462ba9c04d2a7f8ddac0ce5b41c794bae6c5b176dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed09ce2bb4655a498e2e2bcb6195b359cc295fe1aff1366aaad2a2314dcaf2fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-03-19T19:57:20Z",
    "title_canon_sha256": "1b4f106a31f3215959419b6df923f8fe9b1f5fc887ee4e9ca5d169ff84263169"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4221",
    "kind": "arxiv",
    "version": 3
  }
}