Pith Number

pith:FHP7Z4AW

pith:2017:FHP7Z4AWR3TVOZXE6EUMQVXZCZ

not attested not anchored not stored refs pending

Erg(r)odicity: Hidden Bias and the Growthrate Gain

Dan Popescu, Nash Rochman, Sean X. Sun

arxiv:1706.09478 v2 · 2017-06-28 · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FHP7Z4AWR3TVOZXE6EUMQVXZCZ}

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	2026-05-18T00:18:25.759575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29dffcf0168ee75766e4f128c856f9164bca1635340bac89526596785cd2fb36

Aliases

arxiv: 1706.09478 · arxiv_version: 1706.09478v2 · doi: 10.48550/arxiv.1706.09478 · pith_short_12: FHP7Z4AWR3TV · pith_short_16: FHP7Z4AWR3TVOZXE · pith_short_8: FHP7Z4AW

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/FHP7Z4AWR3TVOZXE6EUMQVXZCZ \
  | 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: 29dffcf0168ee75766e4f128c856f9164bca1635340bac89526596785cd2fb36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84387df2cbf5159c7c074f81f30df7ba7c610807c0e7a470099eef29fbea910d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.QM",
    "submitted_at": "2017-06-28T20:35:45Z",
    "title_canon_sha256": "e394e0dc26b1dc6a6249e3af3bba79dbaab89c248c0d6e2facb8f47d3c72fe73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09478",
    "kind": "arxiv",
    "version": 2
  }
}