Pith Number

pith:TR3J7IOI

pith:2012:TR3J7IOI63VDQSP3HOHPOLJPTP

not attested not anchored not stored refs pending

Breakdown for the Camassa-Holm Equation Using Decay Criteria and Persistence in Weighted Spaces

Lorenzo Brandolese (ICJ)

arxiv:1202.0718 v1 · 2012-02-03 · 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{TR3J7IOI63VDQSP3HOHPOLJPTP}

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	2026-05-18T03:14:08.822068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c769fa1c8f6ea3849fb3b8ef72d2f9beee2da63e5c9583a0f717c7b6ec9db0a

Aliases

arxiv: 1202.0718 · arxiv_version: 1202.0718v1 · doi: 10.48550/arxiv.1202.0718 · pith_short_12: TR3J7IOI63VD · pith_short_16: TR3J7IOI63VDQSP3 · pith_short_8: TR3J7IOI

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/TR3J7IOI63VDQSP3HOHPOLJPTP \
  | 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: 9c769fa1c8f6ea3849fb3b8ef72d2f9beee2da63e5c9583a0f717c7b6ec9db0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "692780f77cc9e3c4019d4af90970ae87fafc2dd019e2151ddf242c2486af0edd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-03T14:41:14Z",
    "title_canon_sha256": "35c394762964fd88de9c84df881ae92b0ec5f70f811ce012a1d683c615840964"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0718",
    "kind": "arxiv",
    "version": 1
  }
}