Pith Number

pith:IOCQBKZI

pith:2011:IOCQBKZITDW7K2GGTQOCGALFXT

not attested not anchored not stored refs pending

Generating Functionals and Lagrangian PDEs

Cuicui Liao, Joris Vankerschaver, Melvin Leok

arxiv:1111.0280 v2 · 2011-11-01 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IOCQBKZITDW7K2GGTQOCGALFXT}

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	2026-05-18T03:15:57.886124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

438500ab2898edf568c69c1c230165bcde1d02e2d9483731c9b0623cdcfb51b2

Aliases

arxiv: 1111.0280 · arxiv_version: 1111.0280v2 · doi: 10.48550/arxiv.1111.0280 · pith_short_12: IOCQBKZITDW7 · pith_short_16: IOCQBKZITDW7K2GG · pith_short_8: IOCQBKZI

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/IOCQBKZITDW7K2GGTQOCGALFXT \
  | 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: 438500ab2898edf568c69c1c230165bcde1d02e2d9483731c9b0623cdcfb51b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04f63f8016b18e5e9a716d513128e17852ea4005e00546dc947457830ccf6a72",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-01T19:39:00Z",
    "title_canon_sha256": "00de503e1d60189da0e56a130ae2d2db18a867bed64a33d6f4e5daecb69bcdd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0280",
    "kind": "arxiv",
    "version": 2
  }
}