Pith Number

pith:ICCUNYCU

pith:2009:ICCUNYCUKQINFQQCNXZET6VWAB

not attested not anchored not stored refs pending

Irrationality exponent and rational approximations with prescribed growth

St\'ephane Fischler, Tanguy Rivoal

arxiv:0910.4448 v1 · 2009-10-23 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ICCUNYCUKQINFQQCNXZET6VWAB}

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	2026-05-18T04:02:37.943222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

408546e0545410d2c2026df249fab600479beb1dcacb732d95a3907bec5612ea

Aliases

arxiv: 0910.4448 · arxiv_version: 0910.4448v1 · doi: 10.48550/arxiv.0910.4448 · pith_short_12: ICCUNYCUKQIN · pith_short_16: ICCUNYCUKQINFQQC · pith_short_8: ICCUNYCU

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/ICCUNYCUKQINFQQCNXZET6VWAB \
  | 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: 408546e0545410d2c2026df249fab600479beb1dcacb732d95a3907bec5612ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d223d424d3af73b6761e29fd63c9f7fdbfa15824bfde7a151a7c51617e775b21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-10-23T06:39:34Z",
    "title_canon_sha256": "a089a45be62982fc159ef79545c0622335253c5ec5ab0fb45bc965d235361615"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4448",
    "kind": "arxiv",
    "version": 1
  }
}