Pith Number

pith:HNW64PEH

pith:2014:HNW64PEHQBGU3W2VMX2MGWMORD

not attested not anchored not stored refs pending

A Liouville theorem for the Degasperis-Procesi equation

Lorenzo Brandolese (ICJ)

arxiv:1405.6675 v2 · 2014-05-26 · 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{HNW64PEHQBGU3W2VMX2MGWMORD}

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	2026-05-18T02:18:04.288900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b6dee3c87804d4ddb5565f4c3598e88c77641f5fcb8520dbcd9cad9d222c4b5

Aliases

arxiv: 1405.6675 · arxiv_version: 1405.6675v2 · doi: 10.48550/arxiv.1405.6675 · pith_short_12: HNW64PEHQBGU · pith_short_16: HNW64PEHQBGU3W2V · pith_short_8: HNW64PEH

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/HNW64PEHQBGU3W2VMX2MGWMORD \
  | 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: 3b6dee3c87804d4ddb5565f4c3598e88c77641f5fcb8520dbcd9cad9d222c4b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a3f4a9f482fb217bb66167ae19f34a1d6f063e2c9b4d907b0a63729bf71248a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-05-26T18:43:18Z",
    "title_canon_sha256": "6d3f877a34b468e15da55066cda0ffa3975c959c1e15a8801f85dfde067d7222"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6675",
    "kind": "arxiv",
    "version": 2
  }
}