Pith Number

pith:JBG4T5YG

pith:2010:JBG4T5YG2LV3SMLKM3SZ2VOX7Q

not attested not anchored not stored refs pending

The Past and the Future in the Present

Christopher J. Ellison, James P. Crutchfield

arxiv:1012.0356 v1 · 2010-12-02 · nlin.CD · cs.IT · math.DS · math.IT · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JBG4T5YG2LV3SMLKM3SZ2VOX7Q}

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	2026-05-18T04:34:17.935724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

484dc9f706d2ebb9316a66e59d55d7fc392a6bb0730b6f2d262ce50a4881b2ec

Aliases

arxiv: 1012.0356 · arxiv_version: 1012.0356v1 · doi: 10.48550/arxiv.1012.0356 · pith_short_12: JBG4T5YG2LV3 · pith_short_16: JBG4T5YG2LV3SMLK · pith_short_8: JBG4T5YG

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/JBG4T5YG2LV3SMLKM3SZ2VOX7Q \
  | 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: 484dc9f706d2ebb9316a66e59d55d7fc392a6bb0730b6f2d262ce50a4881b2ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ba41aa9aae7f0007fd25f312a15bd1cddd21bc3d723b262b1509cf156e7ca74",
    "cross_cats_sorted": [
      "cs.IT",
      "math.DS",
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2010-12-02T01:16:20Z",
    "title_canon_sha256": "656b3f4caaa6d15193c9432e5e0114b5f3ae0a6c6806dcac7db117b0ced7f54d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0356",
    "kind": "arxiv",
    "version": 1
  }
}