Pith Number

pith:SA2JX4NV

pith:2013:SA2JX4NVW6Q5OASQNSNAVJGL2W

not attested not anchored not stored refs pending

Division Point Measures from Primitive Substitutions

Charles Starling, Daniel Gon\c{c}alves

arxiv:1304.6435 v3 · 2013-04-23 · math.DS · 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{SA2JX4NVW6Q5OASQNSNAVJGL2W}

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	2026-05-18T03:07:03.745876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90349bf1b5b7a1d702506c9a0aa4cbd5989025ad2c80f52a98936a4e8467f95d

Aliases

arxiv: 1304.6435 · arxiv_version: 1304.6435v3 · doi: 10.48550/arxiv.1304.6435 · pith_short_12: SA2JX4NVW6Q5 · pith_short_16: SA2JX4NVW6Q5OASQ · pith_short_8: SA2JX4NV

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/SA2JX4NVW6Q5OASQNSNAVJGL2W \
  | 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: 90349bf1b5b7a1d702506c9a0aa4cbd5989025ad2c80f52a98936a4e8467f95d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "720e5bc4e9bc9082998e4b384438b007c05ac3a5aa4e546cfca2ed713df634bf",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-04-23T22:27:32Z",
    "title_canon_sha256": "c56bdbf0e8c2226ce0609f961ad67a1c0e7aa48fdbd46adc0784ffee44cb3dde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6435",
    "kind": "arxiv",
    "version": 3
  }
}