Pith Number

pith:L65EKCSV

pith:2017:L65EKCSVIEJ5UUWJO2KTMHEW5T

not attested not anchored not stored refs pending

On the ultimate energy bound of solutions to some forced second order evolution equations with a general nonlinear damping operator

Alain Haraux (LJLL)

arxiv:1708.07639 v1 · 2017-08-25 · 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{L65EKCSVIEJ5UUWJO2KTMHEW5T}

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	2026-05-18T00:20:06.526874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fba450a554113da52c97695361c96ecda5575d1647b296114ed038c74c40a4b

Aliases

arxiv: 1708.07639 · arxiv_version: 1708.07639v1 · doi: 10.48550/arxiv.1708.07639 · pith_short_12: L65EKCSVIEJ5 · pith_short_16: L65EKCSVIEJ5UUWJ · pith_short_8: L65EKCSV

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/L65EKCSVIEJ5UUWJO2KTMHEW5T \
  | 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: 5fba450a554113da52c97695361c96ecda5575d1647b296114ed038c74c40a4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bf92319c6ad80965eef9a9f12a8dee7acfd5c0fc3437ea82bb4fb9658faeb3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-25T07:54:54Z",
    "title_canon_sha256": "767c0c695c6396b83b1d0a2bac06e73b101b98ca89f833a1d9a22a1ef5f633dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07639",
    "kind": "arxiv",
    "version": 1
  }
}