Pith Number

pith:XKC6BMPB

pith:2012:XKC6BMPB2SQUJWMKIYPZKLTJPE

not attested not anchored not stored refs pending

The Threshold between Effective and Noneffective Damping for Semilinear Waves

Marcello D'Abbicco

arxiv:1211.0731 v2 · 2012-11-04 · 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{XKC6BMPB2SQUJWMKIYPZKLTJPE}

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	2026-05-18T01:33:40.623527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba85e0b1e1d4a144d98a461f952e69790fc20454aea934716ce4820a5e22054b

Aliases

arxiv: 1211.0731 · arxiv_version: 1211.0731v2 · doi: 10.48550/arxiv.1211.0731 · pith_short_12: XKC6BMPB2SQU · pith_short_16: XKC6BMPB2SQUJWMK · pith_short_8: XKC6BMPB

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/XKC6BMPB2SQUJWMKIYPZKLTJPE \
  | 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: ba85e0b1e1d4a144d98a461f952e69790fc20454aea934716ce4820a5e22054b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5dd21d13d883c2aecff08fc315ad8dd55a0027d8727afd9ab78321d6de22c32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-04T23:16:34Z",
    "title_canon_sha256": "69f066274e6351b7fd2836e0fdb0bf2588e7f9a1a1c57aac131bf2671a60038d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0731",
    "kind": "arxiv",
    "version": 2
  }
}