Pith Number

pith:F2ZSWDHQ

pith:2012:F2ZSWDHQ5R3WHESEE257LDGTCN

not attested not anchored not stored refs pending

Decay rates for the damped wave equation on the torus

Matthieu L\'eautaud, Nalini Anantharaman, St\'ephane Nonnenmacher

arxiv:1210.6879 v1 · 2012-10-25 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F2ZSWDHQ5R3WHESEE257LDGTCN}

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	2026-05-18T01:22:26.132250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2eb32b0cf0ec7763924426bbf58cd3136a86c745d3a82646080ae06306dab458

Aliases

arxiv: 1210.6879 · arxiv_version: 1210.6879v1 · doi: 10.48550/arxiv.1210.6879 · pith_short_12: F2ZSWDHQ5R3W · pith_short_16: F2ZSWDHQ5R3WHESE · pith_short_8: F2ZSWDHQ

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/F2ZSWDHQ5R3WHESEE257LDGTCN \
  | 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: 2eb32b0cf0ec7763924426bbf58cd3136a86c745d3a82646080ae06306dab458

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f93fee6ab5012490f5b3f7af366b833139ca3725e62fa314776effcf718e343",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-25T15:40:16Z",
    "title_canon_sha256": "2347f5433da376ce3b4c77272e136111004c797bc5279ffc5e291b68b2a9de20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6879",
    "kind": "arxiv",
    "version": 1
  }
}