Pith Number

pith:X3EE26LE

pith:2004:X3EE26LEIMJFY6JGNT4GT27TRK

not attested not anchored not stored refs pending

Applications and generalizations of Fisher-Hartwig asymptotics

N.E. Frankel, P.J. Forrester

arxiv:math-ph/0401011 v1 · 2004-01-07 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3EE26LEIMJFY6JGNT4GT27TRK}

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	2026-05-18T01:38:33.593678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bec84d796443125c79266cf869ebf38aa8e3a3c4b5188ab48575d4af19712d1a

Aliases

arxiv: math-ph/0401011 · arxiv_version: math-ph/0401011v1 · doi: 10.48550/arxiv.math-ph/0401011 · pith_short_12: X3EE26LEIMJF · pith_short_16: X3EE26LEIMJFY6JG · pith_short_8: X3EE26LE

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/X3EE26LEIMJFY6JGNT4GT27TRK \
  | 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: bec84d796443125c79266cf869ebf38aa8e3a3c4b5188ab48575d4af19712d1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed344a271dce8ff1403ab072b1a65be6aef72ef492f19259ef381f8eff071dfd",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-01-07T02:21:01Z",
    "title_canon_sha256": "af95fd8bf4593cad4353034477620a268e927e3484312e9b78a2b2b9ef4cb581"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0401011",
    "kind": "arxiv",
    "version": 1
  }
}