Pith Number

pith:BZRM3ZG3

pith:2024:BZRM3ZG3L2JGTVA2UZAUK2KWAT

not attested not anchored not stored refs pending

Ihara zeta functions for some simple graph families

Alex Richards, Maize Chico, Thomas W. Mattman

arxiv:2501.00639 v1 · 2024-12-31 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BZRM3ZG3L2JGTVA2UZAUK2KWAT}

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	2026-07-05T09:56:08.539744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e62cde4db5e9269d41aa64145695604c1c1c92823ea478411cbf35119b1fe68

Aliases

arxiv: 2501.00639 · arxiv_version: 2501.00639v1 · doi: 10.48550/arxiv.2501.00639 · pith_short_12: BZRM3ZG3L2JG · pith_short_16: BZRM3ZG3L2JGTVA2 · pith_short_8: BZRM3ZG3

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/BZRM3ZG3L2JGTVA2UZAUK2KWAT \
  | 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: 0e62cde4db5e9269d41aa64145695604c1c1c92823ea478411cbf35119b1fe68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecdd9fc0f6feb341138a31183b9296edad15cc9fde1e846141a50b86ad9066a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-31T20:35:53Z",
    "title_canon_sha256": "a48e6787ebd13b1611571f4c0e54a6751a170cf92db469de5f9162a865916e27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00639",
    "kind": "arxiv",
    "version": 1
  }
}