Pith Number

pith:Z3LYCLYJ

pith:2018:Z3LYCLYJWFQWSFHB6IYPIBHAZU

not attested not anchored not stored refs pending

Normalization of singular contact forms and primitive 1-forms

Kai Jiang, Nguyen Tien Zung, Truong Hong Minh

arxiv:1804.06232 v2 · 2018-04-17 · math.DG · math-ph · math.DS · 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{Z3LYCLYJWFQWSFHB6IYPIBHAZU}

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	2026-05-17T23:45:53.157187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ced7812f09b1616914e1f230f404e0cd0ed27dfe156700db2841b7538741675a

Aliases

arxiv: 1804.06232 · arxiv_version: 1804.06232v2 · doi: 10.48550/arxiv.1804.06232 · pith_short_12: Z3LYCLYJWFQW · pith_short_16: Z3LYCLYJWFQWSFHB · pith_short_8: Z3LYCLYJ

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/Z3LYCLYJWFQWSFHB6IYPIBHAZU \
  | 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: ced7812f09b1616914e1f230f404e0cd0ed27dfe156700db2841b7538741675a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32273625a6501384d317f41f8de38c3a62f32a2f44210c4514b05b5a081c8dc5",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-04-17T13:33:35Z",
    "title_canon_sha256": "296842043251946628ac9de18a58b91d584726b0de4e11d22f6843f51d3e40e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06232",
    "kind": "arxiv",
    "version": 2
  }
}