Pith Number

pith:ZPCIGLMH

pith:2016:ZPCIGLMHKZVT5SRIVT6ZKOF2ST

not attested not anchored not stored refs pending

Relating Zeta Functions of Discrete and Quantum Graphs

Jonathan Harrison, Tracy Weyand

arxiv:1612.04273 v3 · 2016-12-13 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPCIGLMHKZVT5SRIVT6ZKOF2ST}

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	2026-05-18T00:31:36.250919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbc4832d87566b3eca28acfd9538ba94c43409a9299158c33e017bec1d1cfcdb

Aliases

arxiv: 1612.04273 · arxiv_version: 1612.04273v3 · doi: 10.48550/arxiv.1612.04273 · pith_short_12: ZPCIGLMHKZVT · pith_short_16: ZPCIGLMHKZVT5SRI · pith_short_8: ZPCIGLMH

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/ZPCIGLMHKZVT5SRIVT6ZKOF2ST \
  | 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: cbc4832d87566b3eca28acfd9538ba94c43409a9299158c33e017bec1d1cfcdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "582f3d0d17a5adb39431503bf83219db56fae553c3195d37ab538fa7b2bed68f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-12-13T16:40:57Z",
    "title_canon_sha256": "086f0a6ea2f44885316afc46d9070e4cc14c5bcf8e9a06fd3176179d0c1f0abb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04273",
    "kind": "arxiv",
    "version": 3
  }
}