Pith Number

pith:QRFNVWWG

pith:2012:QRFNVWWG5GI3TRH7VPURN3NJAG

not attested not anchored not stored refs pending

Existence of a weak solution for fractional Euler-Lagrange equations

Lo\"ic Bourdin

arxiv:1203.1414 v2 · 2012-03-07 · 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{QRFNVWWG5GI3TRH7VPURN3NJAG}

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	2026-05-18T01:22:58.168720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

844adadac6e991b9c4ffabe916eda901b94a4f17299ccb2a07ce9c890abdbc60

Aliases

arxiv: 1203.1414 · arxiv_version: 1203.1414v2 · doi: 10.48550/arxiv.1203.1414 · pith_short_12: QRFNVWWG5GI3 · pith_short_16: QRFNVWWG5GI3TRH7 · pith_short_8: QRFNVWWG

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/QRFNVWWG5GI3TRH7VPURN3NJAG \
  | 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: 844adadac6e991b9c4ffabe916eda901b94a4f17299ccb2a07ce9c890abdbc60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "477090805286f697f8a5f67f3f79710454d89f168d1e1a13309b61a00828b659",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-03-07T09:36:12Z",
    "title_canon_sha256": "ba6270f4b3c77416814cf544c202f0b5b60aa36cfed1e55c4ea038f0a3db6bc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1414",
    "kind": "arxiv",
    "version": 2
  }
}