Pith Number

pith:LXQNAZOD

pith:2013:LXQNAZODPSGIEE36SBHRID4YZK

not attested not anchored not stored refs pending

Darboux chart on Projective limit of weak symplectic Banach manifold

Pradip Kumar

arxiv:1309.1693 v3 · 2013-09-06 · math.SG · math-ph · math.DG · 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{LXQNAZODPSGIEE36SBHRID4YZK}

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	2026-05-18T03:01:58.162480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5de0d065c37c8c82137e904f140f98ca8d840a784c70bc26900b8b5427ca01a6

Aliases

arxiv: 1309.1693 · arxiv_version: 1309.1693v3 · doi: 10.48550/arxiv.1309.1693 · pith_short_12: LXQNAZODPSGI · pith_short_16: LXQNAZODPSGIEE36 · pith_short_8: LXQNAZOD

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/LXQNAZODPSGIEE36SBHRID4YZK \
  | 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: 5de0d065c37c8c82137e904f140f98ca8d840a784c70bc26900b8b5427ca01a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee9f4f2746c8317de76b050279ea1df11fbc1de4b40712ed989a5a56ff605b48",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-09-06T16:29:38Z",
    "title_canon_sha256": "856b24bf814fe229016007a28e33bb84d0889905e236619b032070dc829a14c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1693",
    "kind": "arxiv",
    "version": 3
  }
}