Pith Number

pith:64FTKPDV

pith:2014:64FTKPDVAJWHHF3IFWBC2RJ4Y4

not attested not anchored not stored refs pending

The Liouville property and Hilbertian compression

Antoine Gournay

arxiv:1403.1195 v5 · 2014-03-05 · math.GR · 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{64FTKPDVAJWHHF3IFWBC2RJ4Y4}

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	2026-05-18T01:24:04.384060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f70b353c75026c7397682d822d453cc717a04e32268427aba48761c28a4d0503

Aliases

arxiv: 1403.1195 · arxiv_version: 1403.1195v5 · doi: 10.48550/arxiv.1403.1195 · pith_short_12: 64FTKPDVAJWH · pith_short_16: 64FTKPDVAJWHHF3I · pith_short_8: 64FTKPDV

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/64FTKPDVAJWHHF3IFWBC2RJ4Y4 \
  | 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: f70b353c75026c7397682d822d453cc717a04e32268427aba48761c28a4d0503

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bdd2958b7e94e81a64fd27d9da36429462e29842d1578c83d17b7eb2aec7a69",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-03-05T17:21:27Z",
    "title_canon_sha256": "a79e9ef3dfe9587f3738c665128ad4564857ac99abebd327cfd46dcd05e27b9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1195",
    "kind": "arxiv",
    "version": 5
  }
}