Pith Number

pith:4AS4WJO5

pith:2017:4AS4WJO5HPONB44OG5ILRLXLSZ

not attested not anchored not stored refs pending

Quantization of energy and weakly turbulent profiles of the solutions to some damped second order evolution equations

Alain Haraux (LJLL), Marina Ghisi (dm.unipi), Massimo Gobbino (dm.unipi)

arxiv:1701.08604 v1 · 2017-01-30 · math.AP · math.CA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4AS4WJO5HPONB44OG5ILRLXLSZ}

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	2026-05-18T00:51:53.551695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e025cb25dd3bdcd0f38e3750b8aeeb96650c2627facb5fb1fa5410f9fc20bd05

Aliases

arxiv: 1701.08604 · arxiv_version: 1701.08604v1 · doi: 10.48550/arxiv.1701.08604 · pith_short_12: 4AS4WJO5HPON · pith_short_16: 4AS4WJO5HPONB44O · pith_short_8: 4AS4WJO5

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/4AS4WJO5HPONB44OG5ILRLXLSZ \
  | 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: e025cb25dd3bdcd0f38e3750b8aeeb96650c2627facb5fb1fa5410f9fc20bd05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c750fce477bc1d6a9654a2b5e49530d5de77ada69f409410ef8cee63168b9a1d",
    "cross_cats_sorted": [
      "math.CA",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-01-30T14:13:00Z",
    "title_canon_sha256": "413c82a4ad76a9c9d2b6c49befd2fc10ea64f4a923074ebcc879f44f36590941"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08604",
    "kind": "arxiv",
    "version": 1
  }
}