Pith Number

pith:FXZZJYPW

pith:2006:FXZZJYPWPEYLZ46C2UZF6OPFGX

not attested not anchored not stored refs pending

On processes which cannot be distinguished by finitary observation

Michael Hochman, Yonatan Gutman

arxiv:math/0608310 v1 · 2006-08-13 · 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{FXZZJYPWPEYLZ46C2UZF6OPFGX}

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	2026-05-18T02:42:13.409295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2df394e1f67930bcf3c2d5325f39e535d5b14064ebdb57d1d83b5dd1c95830b5

Aliases

arxiv: math/0608310 · arxiv_version: math/0608310v1 · doi: 10.48550/arxiv.math/0608310 · pith_short_12: FXZZJYPWPEYL · pith_short_16: FXZZJYPWPEYLZ46C · pith_short_8: FXZZJYPW

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/FXZZJYPWPEYLZ46C2UZF6OPFGX \
  | 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: 2df394e1f67930bcf3c2d5325f39e535d5b14064ebdb57d1d83b5dd1c95830b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b0128c5c453ca3ac81bffe056ba43ce19ee86276493eeb632ef171dc9bf2437",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2006-08-13T07:15:51Z",
    "title_canon_sha256": "a036d1d1789a7a7634a5c34be66dda9f944c0c989c71a2b0f35cdc5022073385"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608310",
    "kind": "arxiv",
    "version": 1
  }
}