Pith Number

pith:ITI2ZWG7

pith:2005:ITI2ZWG7QPAROJQZ4FR5UKTITF

not attested not anchored not stored refs pending

Palindromic Prefixes and Diophantine Approximation

St\'ephane Fischler

arxiv:math/0509508 v3 · 2005-09-22 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITI2ZWG7QPAROJQZ4FR5UKTITF}

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	2026-05-18T04:02:36.557250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44d1acd8df83c1172619e163da2a68995c73b4f6fd93d8b3a7a8fcd69e185df7

Aliases

arxiv: math/0509508 · arxiv_version: math/0509508v3 · doi: 10.48550/arxiv.math/0509508 · pith_short_12: ITI2ZWG7QPAR · pith_short_16: ITI2ZWG7QPAROJQZ · pith_short_8: ITI2ZWG7

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/ITI2ZWG7QPAROJQZ4FR5UKTITF \
  | 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: 44d1acd8df83c1172619e163da2a68995c73b4f6fd93d8b3a7a8fcd69e185df7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10d0734001f2050576e913eb842c58eb5316785d0526afbbcd2a92f3d814c2ca",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2005-09-22T08:38:45Z",
    "title_canon_sha256": "11654254c5982426240ca67ff4a0f75aae3dcf89acd758ccffe03e96057432f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509508",
    "kind": "arxiv",
    "version": 3
  }
}