Pith Number

pith:574AA4RB

pith:2017:574AA4RBKUKZMP6CSNZEFM4HV6

not attested not anchored not stored refs pending

Properly ergodic structures

Alex Kruckman, Cameron Freer, Nathanael Ackerman, Rehana Patel

arxiv:1710.09336 v1 · 2017-10-25 · math.LO · math.CO · 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{574AA4RBKUKZMP6CSNZEFM4HV6}

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	2026-05-18T00:31:59.762136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eff80072215515963fc2937242b387af83d284a34807ffbb45962e129052d9ab

Aliases

arxiv: 1710.09336 · arxiv_version: 1710.09336v1 · doi: 10.48550/arxiv.1710.09336 · pith_short_12: 574AA4RBKUKZ · pith_short_16: 574AA4RBKUKZMP6C · pith_short_8: 574AA4RB

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/574AA4RBKUKZMP6CSNZEFM4HV6 \
  | 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: eff80072215515963fc2937242b387af83d284a34807ffbb45962e129052d9ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87bb960e06a539bff02645e3a3d89b0dbb402d5b91948df301665ef36ed95a25",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-10-25T16:51:57Z",
    "title_canon_sha256": "61ae446b6902cc5a4f69fb0a259ad2a14a669244b5539bedcbc872e33376a443"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09336",
    "kind": "arxiv",
    "version": 1
  }
}