Pith Number

pith:IW3FMZFS

pith:2011:IW3FMZFSYGPRKREOPV7JMK3MTA

not attested not anchored not stored refs pending

A Geometric Method to Investigate Prolongation Structures for Differential Systems With Applications to Integrable Systems

Paul Bracken

arxiv:1111.5067 v1 · 2011-11-22 · 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{IW3FMZFSYGPRKREOPV7JMK3MTA}

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	2026-05-18T02:50:01.094493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45b65664b2c19f15448e7d7e962b6c9822734928bb86cd094996b19f8e8286df

Aliases

arxiv: 1111.5067 · arxiv_version: 1111.5067v1 · doi: 10.48550/arxiv.1111.5067 · pith_short_12: IW3FMZFSYGPR · pith_short_16: IW3FMZFSYGPRKREO · pith_short_8: IW3FMZFS

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/IW3FMZFSYGPRKREOPV7JMK3MTA \
  | 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: 45b65664b2c19f15448e7d7e962b6c9822734928bb86cd094996b19f8e8286df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bae293f332862acdf259e4319ed58424a65bc11055fbfe11e157f3762e61df12",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-22T00:32:33Z",
    "title_canon_sha256": "70723a65902fdee781ba2edc96c82d5a15c54c78ab66a58bf371d5322cbe4bf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5067",
    "kind": "arxiv",
    "version": 1
  }
}