Pith Number

pith:26YPHIXY

pith:2011:26YPHIXYKDDPUZM2USJJ4CU34I

not attested not anchored not stored refs pending

Variational integrator for fractional Euler-Lagrange equations

Isabelle Greff, Jacky Cresson, Lo\"ic Bourdin, Pierre Inizan

arxiv:1103.0465 v2 · 2011-03-02 · 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{26YPHIXYKDDPUZM2USJJ4CU34I}

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	2026-05-18T01:22:58.234307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7b0f3a2f850c6fa659aa4929e0a9be230a98a88b30c3c05b96df561a849d632

Aliases

arxiv: 1103.0465 · arxiv_version: 1103.0465v2 · doi: 10.48550/arxiv.1103.0465 · pith_short_12: 26YPHIXYKDDP · pith_short_16: 26YPHIXYKDDPUZM2 · pith_short_8: 26YPHIXY

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/26YPHIXYKDDPUZM2USJJ4CU34I \
  | 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: d7b0f3a2f850c6fa659aa4929e0a9be230a98a88b30c3c05b96df561a849d632

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f65ddefac6c5fc691c72afe44867fcc5bdb0bcc91612961062c6a3b18681e86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-03-02T15:58:32Z",
    "title_canon_sha256": "257e97c08954ba5bec4056b61313e3a39dad220430457c6187fbbf2cb23aeebe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0465",
    "kind": "arxiv",
    "version": 2
  }
}