Pith Number

pith:DJQI7FDP

pith:2011:DJQI7FDPCOHSBHJ4P2AAW5SMFZ

not attested not anchored not stored refs pending

Finite propagation speed for solutions of the wave equation on metric graphs

J\"urgen Potthoff, Robert Schrader, Vadim Kostrykin

arxiv:1106.0817 v1 · 2011-06-04 · 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{DJQI7FDPCOHSBHJ4P2AAW5SMFZ}

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	2026-05-18T04:20:37.393229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a608f946f138f209d3c7e800b764c2e689fc2e18ea68ca6ed6cd9e18457134b

Aliases

arxiv: 1106.0817 · arxiv_version: 1106.0817v1 · doi: 10.48550/arxiv.1106.0817 · pith_short_12: DJQI7FDPCOHS · pith_short_16: DJQI7FDPCOHSBHJ4 · pith_short_8: DJQI7FDP

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/DJQI7FDPCOHSBHJ4P2AAW5SMFZ \
  | 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: 1a608f946f138f209d3c7e800b764c2e689fc2e18ea68ca6ed6cd9e18457134b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db0c15b458d0e6df51d114693694940a33db1b09d86ac2051213e0f0fefd7337",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-06-04T12:19:09Z",
    "title_canon_sha256": "87c486ef7ee84aff199690844b9f605bf5a9bbb7a5e7b67dccfb20a7f0e02e5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0817",
    "kind": "arxiv",
    "version": 1
  }
}