Pith Number

pith:BNB3SG5G

pith:2006:BNB3SG5GWA3TAGTT3QASLWAKQT

not attested not anchored not stored refs pending

Fractional embedding of differential operators and Lagrangian systems

Jacky Cresson (LMA - PAU)

arxiv:math/0605752 v1 · 2006-05-30 · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BNB3SG5GWA3TAGTT3QASLWAKQT}

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	2026-05-18T01:38:24.064462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b43b91ba6b037301a73dc0125d80a84ceee79f6921ef5537b00db71a9f8e614

Aliases

arxiv: math/0605752 · arxiv_version: math/0605752v1 · doi: 10.48550/arxiv.math/0605752 · pith_short_12: BNB3SG5GWA3T · pith_short_16: BNB3SG5GWA3TAGTT · pith_short_8: BNB3SG5G

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/BNB3SG5GWA3TAGTT3QASLWAKQT \
  | 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: 0b43b91ba6b037301a73dc0125d80a84ceee79f6921ef5537b00db71a9f8e614

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7d0721d58759a7d55be4e8c4165239871665244e435d7ad4a198d7af131ca3b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2006-05-30T10:25:01Z",
    "title_canon_sha256": "90ae51c9dd45c749f3f9b617b10d96af95becdeb82705a5867606fab1b3c11d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0605752",
    "kind": "arxiv",
    "version": 1
  }
}