Pith Number

pith:QTMEUB3P

pith:2004:QTMEUB3PNKAFYDURDQBRJ5HLQQ

not attested not anchored not stored refs pending

Calculus on Graphs

Jean-Pierre Tillich, Joel Friedman

arxiv:cs/0408028 v1 · 2004-08-12 · cs.DM · 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{QTMEUB3PNKAFYDURDQBRJ5HLQQ}

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

2 papers in Pith

Nonexistence Results for Semilinear Parabolic and Hyperbolic Equations on Metric Graphs

Nonexistence results for semilinear elliptic equations on metric graphs

Receipt and verification

First computed	2026-07-04T14:24:46.336903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84d84a076f6a805c0e911c0314f4eb8415027b45daba43e2835d2cca05681a22

Aliases

arxiv: cs/0408028 · arxiv_version: cs/0408028v1 · doi: 10.48550/arxiv.cs/0408028 · pith_short_12: QTMEUB3PNKAF · pith_short_16: QTMEUB3PNKAFYDUR · pith_short_8: QTMEUB3P

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/QTMEUB3PNKAFYDURDQBRJ5HLQQ \
  | 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: 84d84a076f6a805c0e911c0314f4eb8415027b45daba43e2835d2cca05681a22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78f42a98a1811b1fda706e149fe6efcd82c3af2ad57a5f17dab51f501fc341a3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "cs.DM",
    "submitted_at": "2004-08-12T18:04:23Z",
    "title_canon_sha256": "98f7a027bdb14d80b08e2237ef34dfedcfd0d81ef34bc4351771c93b571ceef3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0408028",
    "kind": "arxiv",
    "version": 1
  }
}