Pith Number

pith:HP336VBI

pith:2012:HP336VBIA323J3J4LRWZFMFNM3

not attested not anchored not stored refs pending

Randomness and Non-ergodic Systems

Henry Towsner, Johanna N.Y. Franklin

arxiv:1206.2682 v1 · 2012-06-12 · math.LO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HP336VBIA323J3J4LRWZFMFNM3}

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	2026-05-18T03:53:43.334631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bf7bf542806f5b4ed3c5c6d92b0ad66c85943ba778fa2033f41a4c264f5d377

Aliases

arxiv: 1206.2682 · arxiv_version: 1206.2682v1 · doi: 10.48550/arxiv.1206.2682 · pith_short_12: HP336VBIA323 · pith_short_16: HP336VBIA323J3J4 · pith_short_8: HP336VBI

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/HP336VBIA323J3J4LRWZFMFNM3 \
  | 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: 3bf7bf542806f5b4ed3c5c6d92b0ad66c85943ba778fa2033f41a4c264f5d377

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ef0961990f53f3e7fae54eab69020cee334398355a92b6d530e53a3aa70d6a3",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-06-12T22:18:06Z",
    "title_canon_sha256": "b2ab5c0b923a39f62685c96fc6f419c8d72686c764ddeb6f8177ef8cde806fe7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2682",
    "kind": "arxiv",
    "version": 1
  }
}