Pith Number

pith:BFC2IWR3

pith:2018:BFC2IWR3QI2WO3LGF4DP5C54XM

not attested not anchored not stored refs pending

The entropy function of an invariant measure

Cameron Freer, Nathanael Ackerman, Rehana Patel

arxiv:1809.02290 v2 · 2018-09-07 · 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{BFC2IWR3QI2WO3LGF4DP5C54XM}

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	2026-05-17T23:53:42.104525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0945a45a3b8235676d662f06fe8bbcbb08cdb0d74dc8005d8e7f65e52c2d258f

Aliases

arxiv: 1809.02290 · arxiv_version: 1809.02290v2 · doi: 10.48550/arxiv.1809.02290 · pith_short_12: BFC2IWR3QI2W · pith_short_16: BFC2IWR3QI2WO3LG · pith_short_8: BFC2IWR3

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/BFC2IWR3QI2WO3LGF4DP5C54XM \
  | 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: 0945a45a3b8235676d662f06fe8bbcbb08cdb0d74dc8005d8e7f65e52c2d258f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9ee8d6de6de0421ce93a606fbb04cac6486ac3ec8d244c40ddbda9bb581d7a8",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-09-07T03:07:31Z",
    "title_canon_sha256": "36f6738eae7c4c6fb585404ff28baf2d5c66774110627a869b3f1f2367dffa42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02290",
    "kind": "arxiv",
    "version": 2
  }
}