Pith Number

pith:27VCZVJM

pith:2015:27VCZVJMPIZVRF3N6GCHBADTVI

not attested not anchored not stored refs pending

Twisted Dirac operators and dynamical zeta functions

Polyxeni Spilioti

arxiv:1507.05932 v3 · 2015-07-21 · 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{27VCZVJMPIZVRF3N6GCHBADTVI}

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	2026-05-18T01:32:00.214743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7ea2cd52c7a3358976df184708073aa3aa85ced5513b131b9e962ed77dae86b

Aliases

arxiv: 1507.05932 · arxiv_version: 1507.05932v3 · doi: 10.48550/arxiv.1507.05932 · pith_short_12: 27VCZVJMPIZV · pith_short_16: 27VCZVJMPIZVRF3N · pith_short_8: 27VCZVJM

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/27VCZVJMPIZVRF3N6GCHBADTVI \
  | 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: d7ea2cd52c7a3358976df184708073aa3aa85ced5513b131b9e962ed77dae86b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c85c25eec43872452e8900a3046a77bddea3c22fa2a2f49b6b58449911ed028d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-07-21T18:11:36Z",
    "title_canon_sha256": "080d0aaa897dd5fe3193ecd3e54fdd917c32cf70271da8a7ba66332f1a4a2eb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05932",
    "kind": "arxiv",
    "version": 3
  }
}