Pith Number

pith:IIZATTTY

pith:2011:IIZATTTY5HWEU4AROADIIR7MT5

not attested not anchored not stored refs pending

Semi-classical trace formulas and heat expansions

Yves Colin De Verdi\`ere (IF)

arxiv:1103.4461 v3 · 2011-03-23 · math-ph · math.MP · 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{IIZATTTY5HWEU4AROADIIR7MT5}

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	2026-05-18T04:17:13.362767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

423209ce78e9ec4a701170068447ec9f5316382565731e82b04e0c0486b24740

Aliases

arxiv: 1103.4461 · arxiv_version: 1103.4461v3 · doi: 10.48550/arxiv.1103.4461 · pith_short_12: IIZATTTY5HWE · pith_short_16: IIZATTTY5HWEU4AR · pith_short_8: IIZATTTY

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/IIZATTTY5HWEU4AROADIIR7MT5 \
  | 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: 423209ce78e9ec4a701170068447ec9f5316382565731e82b04e0c0486b24740

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "858b45dade844b36d5950b0964cf4735291bf08aaab29ab867ec64aa40392b00",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-03-23T06:26:48Z",
    "title_canon_sha256": "460b30c8e8d6e536a6a4220c92acefc0d0a752aa32baf78cd524e000d31b1745"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4461",
    "kind": "arxiv",
    "version": 3
  }
}