Pith Number

pith:Z3VWYW5H

pith:2009:Z3VWYW5HJFTY5SMNVFZXG2YW6H

not attested not anchored not stored refs pending

Lagrangian multiforms and multidimensional consistency

Frank Nijhoff, Sarah Lobb

arxiv:0903.4086 v2 · 2009-03-24 · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3VWYW5HJFTY5SMNVFZXG2YW6H}

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	2026-05-18T02:14:26.251049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceeb6c5ba749678ec98da973736b16f1c6140122c1ac042eaf655232b84a2aaa

Aliases

arxiv: 0903.4086 · arxiv_version: 0903.4086v2 · doi: 10.48550/arxiv.0903.4086 · pith_short_12: Z3VWYW5HJFTY · pith_short_16: Z3VWYW5HJFTY5SMN · pith_short_8: Z3VWYW5H

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/Z3VWYW5HJFTY5SMNVFZXG2YW6H \
  | 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: ceeb6c5ba749678ec98da973736b16f1c6140122c1ac042eaf655232b84a2aaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "062cae4e22961626a8b9bcfdef2b5a86aaa07509fa130ad13add7e34f4c77b06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2009-03-24T14:04:13Z",
    "title_canon_sha256": "bb26488439f7a6ebfdcf18bc50656ca3cf4de6de83f18dfa9611013c58065ae6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4086",
    "kind": "arxiv",
    "version": 2
  }
}