Pith Number

pith:GIXU2YYU

pith:2012:GIXU2YYUODTAXY3PIDTQTTDQW5

not attested not anchored not stored refs pending

On series of dilated functions

Istvan Berkes, Michel Weber

arxiv:1205.1326 v1 · 2012-05-07 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GIXU2YYUODTAXY3PIDTQTTDQW5}

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	2026-05-18T00:39:58.804104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

322f4d631470e60be36f40e709cc70b776bd6bc92cda88612db2f2e0fc4d55c5

Aliases

arxiv: 1205.1326 · arxiv_version: 1205.1326v1 · doi: 10.48550/arxiv.1205.1326 · pith_short_12: GIXU2YYUODTA · pith_short_16: GIXU2YYUODTAXY3P · pith_short_8: GIXU2YYU

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/GIXU2YYUODTAXY3PIDTQTTDQW5 \
  | 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: 322f4d631470e60be36f40e709cc70b776bd6bc92cda88612db2f2e0fc4d55c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b16fcdb258a1d8ab98a3bb5b80ba539447e1dc70c0fa598f544a39e0e2485fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-05-07T09:31:45Z",
    "title_canon_sha256": "ddf0a3d3546dea58e7d7fb950327637c8a5aa7f65265bd46640af2bfef6235a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1326",
    "kind": "arxiv",
    "version": 1
  }
}