Pith Number

pith:E2X3INHC

pith:2020:E2X3INHC3MIVNTYF7TFFLFKFW4

not attested not anchored not stored refs pending

Ruelle zeta function from field theory

Charles Hadfield, Michele Schiavina, Santosh Kandel

arxiv:2002.03952 v2 · 2020-02-10 · math-ph · math.AT · math.DS · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E2X3INHC3MIVNTYF7TFFLFKFW4}

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	2026-07-05T01:38:16.931648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26afb434e2db1156cf05fcca559545b7184e4b79da05209fd8e9c36b4c857074

Aliases

arxiv: 2002.03952 · arxiv_version: 2002.03952v2 · doi: 10.48550/arxiv.2002.03952 · pith_short_12: E2X3INHC3MIV · pith_short_16: E2X3INHC3MIVNTYF · pith_short_8: E2X3INHC

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/E2X3INHC3MIVNTYF7TFFLFKFW4 \
  | 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: 26afb434e2db1156cf05fcca559545b7184e4b79da05209fd8e9c36b4c857074

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "838be7274b49856a6422800c4f7d5bf0f01efc875c245d96e0f1b7f930bb4ee3",
    "cross_cats_sorted": [
      "math.AT",
      "math.DS",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-02-10T17:06:44Z",
    "title_canon_sha256": "4ea1f35409a81f497845ad2afe878135732329f56c16e8ab284c6b984b589598"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.03952",
    "kind": "arxiv",
    "version": 2
  }
}