Pith Number

pith:GCGNORJK

pith:2014:GCGNORJKLM5MZ34CPKES75RTE5

not attested not anchored not stored refs pending

Tree-lattice zeta functions and class numbers

Antonius Deitmar, Ming-Hsuan Kang

arxiv:1402.4759 v4 · 2014-02-19 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCGNORJKLM5MZ34CPKES75RTE5}

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	2026-05-18T00:42:39.953646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

308cd7452a5b3accef827a892ff6332778e769c01347106655ee732e2dd45558

Aliases

arxiv: 1402.4759 · arxiv_version: 1402.4759v4 · doi: 10.48550/arxiv.1402.4759 · pith_short_12: GCGNORJKLM5M · pith_short_16: GCGNORJKLM5MZ34C · pith_short_8: GCGNORJK

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/GCGNORJKLM5MZ34CPKES75RTE5 \
  | 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: 308cd7452a5b3accef827a892ff6332778e769c01347106655ee732e2dd45558

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b3de133aebb1e718c4b4ae8e226df9ab73febf040c5d093f1f84ce390b36e82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-02-19T18:31:26Z",
    "title_canon_sha256": "95590d2c9933de474b8cccb2596dcb73b41f6e2181dd7ea75822dd769f2cf6d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4759",
    "kind": "arxiv",
    "version": 4
  }
}