Pith Number

pith:L65QVL5S

pith:2015:L65QVL5SQQ2E35EVLTKQJYOSYU

not attested not anchored not stored refs pending

The quaternionic weighted zeta function of a graph

Hideo Mitsuhashi, Iwao Sato, Norio Konno

arxiv:1507.06761 v2 · 2015-07-24 · 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{L65QVL5SQQ2E35EVLTKQJYOSYU}

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	2026-05-18T01:32:07.789761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fbb0aafb284344df4955cd504e1d2c52d2a25482ae8991c84553c4804754513

Aliases

arxiv: 1507.06761 · arxiv_version: 1507.06761v2 · doi: 10.48550/arxiv.1507.06761 · pith_short_12: L65QVL5SQQ2E · pith_short_16: L65QVL5SQQ2E35EV · pith_short_8: L65QVL5S

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/L65QVL5SQQ2E35EVLTKQJYOSYU \
  | 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: 5fbb0aafb284344df4955cd504e1d2c52d2a25482ae8991c84553c4804754513

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aa213d7bb929a7b53b3130d856341d1a213e7ed587b16df95326d6d0471348c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-24T07:17:39Z",
    "title_canon_sha256": "d8a159f25c2712d1e3868105607386ac37c17fa0601fa30c9803974919a87364"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06761",
    "kind": "arxiv",
    "version": 2
  }
}