Pith Number

pith:3AZULR46

pith:2008:3AZULR46MHPWKZEIYVLYWJXFXW

not attested not anchored not stored refs pending

Analysis of the physical Laplacian and the heat flow on a locally finite graph

Andreas Weber

arxiv:0801.0812 v4 · 2008-01-05 · math.SP · 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{3AZULR46MHPWKZEIYVLYWJXFXW}

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.

Cited by

1 paper in Pith

Spectro-Riemannian Graph Neural Networks

Receipt and verification

First computed	2026-07-04T17:18:40.875822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d83345c79e61df656488c5578b26e5bd9b5560be23f56401b35cf61b2d806782

Aliases

arxiv: 0801.0812 · arxiv_version: 0801.0812v4 · doi: 10.48550/arxiv.0801.0812 · pith_short_12: 3AZULR46MHPW · pith_short_16: 3AZULR46MHPWKZEI · pith_short_8: 3AZULR46

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/3AZULR46MHPWKZEIYVLYWJXFXW \
  | 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: d83345c79e61df656488c5578b26e5bd9b5560be23f56401b35cf61b2d806782

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34c102c40863130ee6b29e7515ccdb78068690aeb402aff931b3b49b0c3ca5eb",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2008-01-05T15:06:41Z",
    "title_canon_sha256": "83106af9b2e5b5404f6c479c49fa2a975fb027f7451d339cc3146c391cc715ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.0812",
    "kind": "arxiv",
    "version": 4
  }
}