Pith Number

pith:4KSXYSVU

pith:2013:4KSXYSVUYIT5M6VCI3JASIKYQC

not attested not anchored not stored refs pending

Eigenvalue asymptotics for the damped wave equation on metric graphs

Jiri Lipovsky, Pedro Freitas

arxiv:1307.6377 v3 · 2013-07-24 · 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{4KSXYSVUYIT5M6VCI3JASIKYQC}

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	2026-05-18T00:50:43.263293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2a57c4ab4c227d67aa246d209215880836a6bbf62971e2524f1d1752e744291

Aliases

arxiv: 1307.6377 · arxiv_version: 1307.6377v3 · doi: 10.48550/arxiv.1307.6377 · pith_short_12: 4KSXYSVUYIT5 · pith_short_16: 4KSXYSVUYIT5M6VC · pith_short_8: 4KSXYSVU

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/4KSXYSVUYIT5M6VCI3JASIKYQC \
  | 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: e2a57c4ab4c227d67aa246d209215880836a6bbf62971e2524f1d1752e744291

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6df9172bd918d5cba8aa629ac73ebb136ed7abc99dee5c20f7e17d06567e26db",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-24T10:52:38Z",
    "title_canon_sha256": "d1e497d59e209fa963f3a0ca45267d5c8352028131c1f51a31b7866cf88381a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6377",
    "kind": "arxiv",
    "version": 3
  }
}