Pith Number

pith:4TATLTVF

pith:2005:4TATLTVFWHPW5TX4APNRLH5EAK

not attested not anchored not stored refs pending

Countable state shifts and uniqueness of g-measures

Anders Johansson, Anders \"Oberg, Mark Pollicott

arxiv:math/0509109 v1 · 2005-09-05 · 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{4TATLTVFWHPW5TX4APNRLH5EAK}

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	2026-05-18T02:32:22.886195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4c135cea5b1df6ecefc03db159fa402a127e9f6a6dd5a45247e1962f388dce7

Aliases

arxiv: math/0509109 · arxiv_version: math/0509109v1 · doi: 10.48550/arxiv.math/0509109 · pith_short_12: 4TATLTVFWHPW · pith_short_16: 4TATLTVFWHPW5TX4 · pith_short_8: 4TATLTVF

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/4TATLTVFWHPW5TX4APNRLH5EAK \
  | 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: e4c135cea5b1df6ecefc03db159fa402a127e9f6a6dd5a45247e1962f388dce7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "426d9a7cbcc519577689626cca8a4a90bf2ba180fe25edb2085a967036f066a2",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2005-09-05T19:37:33Z",
    "title_canon_sha256": "f768463cb12a98f9c1d32646b456c8bd4b11046880bc768cebe77c35630256e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509109",
    "kind": "arxiv",
    "version": 1
  }
}