Pith Number

pith:QO6ATD4H

pith:2009:QO6ATD4HY2KDH2V7FQ5LF5OJ7H

not attested not anchored not stored refs pending

Propagation of Waves in Networks of Thin Fibers

B. Vainberg, S. Molchanov

arxiv:0902.1567 v2 · 2009-02-10 · math-ph · math.AP · 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{QO6ATD4HY2KDH2V7FQ5LF5OJ7H}

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	2026-05-18T01:17:57.725765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83bc098f87c69433eabf2c3ab2f5c9f9dd2ae0a48ff322dc5d91064e53f41ad6

Aliases

arxiv: 0902.1567 · arxiv_version: 0902.1567v2 · doi: 10.48550/arxiv.0902.1567 · pith_short_12: QO6ATD4HY2KD · pith_short_16: QO6ATD4HY2KDH2V7 · pith_short_8: QO6ATD4H

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/QO6ATD4HY2KDH2V7FQ5LF5OJ7H \
  | 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: 83bc098f87c69433eabf2c3ab2f5c9f9dd2ae0a48ff322dc5d91064e53f41ad6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dfc6cbc03baafae6728e455e0092f1091197835c54804328ab97bd31e331699",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-02-10T00:55:55Z",
    "title_canon_sha256": "854751b82635b47e6a2eda03a53b0846d533ccea68627be1b0756b1f73322c15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1567",
    "kind": "arxiv",
    "version": 2
  }
}