Pith Number

pith:KANTGA2I

pith:2017:KANTGA2IYDF5LBT6WPGJV7RKAP

not attested not anchored not stored refs pending

A cohomological approach to immersed submanifolds via integrable systems

A. Michel Grundland, Javier de Lucas

arxiv:1709.07789 v2 · 2017-09-22 · math.AP · 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{KANTGA2IYDF5LBT6WPGJV7RKAP}

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	2026-05-18T00:07:50.550802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

501b330348c0cbd5867eb3cc9afe2a03cbc5d49aa4f662c2a0c9d9373f3cda8e

Aliases

arxiv: 1709.07789 · arxiv_version: 1709.07789v2 · doi: 10.48550/arxiv.1709.07789 · pith_short_12: KANTGA2IYDF5 · pith_short_16: KANTGA2IYDF5LBT6 · pith_short_8: KANTGA2I

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/KANTGA2IYDF5LBT6WPGJV7RKAP \
  | 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: 501b330348c0cbd5867eb3cc9afe2a03cbc5d49aa4f662c2a0c9d9373f3cda8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6d5d4bcf6a16673bcd0d3703b42b7b35d80e28de40824c70a03f81d6664d844",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-22T14:49:31Z",
    "title_canon_sha256": "32f75a72d15ca79beeec8f7e3e12c83bcb79026d9b8e37d787c9eef405c5cb5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07789",
    "kind": "arxiv",
    "version": 2
  }
}