Pith Number

pith:AP7V2ZCO

pith:2003:AP7V2ZCO6KDOEIO6YFU4XT6OUY

not attested not anchored not stored refs pending

A resolvent approach to traces and zeta Laurent expansions

Gerd Grubb

arxiv:math/0311081 v4 · 2003-11-06 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AP7V2ZCO6KDOEIO6YFU4XT6OUY}

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	2026-07-04T14:49:42.562802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03ff5d644ef286e221dec169cbcfcea614ca91e0274c1618853d6483f448c781

Aliases

arxiv: math/0311081 · arxiv_version: math/0311081v4 · doi: 10.48550/arxiv.math/0311081 · pith_short_12: AP7V2ZCO6KDO · pith_short_16: AP7V2ZCO6KDOEIO6 · pith_short_8: AP7V2ZCO

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/AP7V2ZCO6KDOEIO6YFU4XT6OUY \
  | 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: 03ff5d644ef286e221dec169cbcfcea614ca91e0274c1618853d6483f448c781

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "725d3673ef8f91356f5e4119e41d467c8d0edd7621ec5d4b38851752a7584b54",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2003-11-06T14:47:55Z",
    "title_canon_sha256": "9bbc7d6c70b55ad752442bffee50920dda5bd6c098da71be640c2689444d370e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311081",
    "kind": "arxiv",
    "version": 4
  }
}