Pith Number

pith:XAZN3KMJ

pith:2013:XAZN3KMJJLHPLUODZ34CZIPFQV

not attested not anchored not stored refs pending

Symplectic twistor operator and its solution space on ${\mathbb R}^2$

Marie Dostalova, Petr Somberg

arxiv:1301.2682 v3 · 2013-01-12 · math.AP · math.DG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XAZN3KMJJLHPLUODZ34CZIPFQV}

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	2026-05-18T01:23:26.740837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b832dda9894acef5d1c3cef82ca1e5854624d9d6e5ef4d58ed380e1b1a3c90ea

Aliases

arxiv: 1301.2682 · arxiv_version: 1301.2682v3 · doi: 10.48550/arxiv.1301.2682 · pith_short_12: XAZN3KMJJLHP · pith_short_16: XAZN3KMJJLHPLUOD · pith_short_8: XAZN3KMJ

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/XAZN3KMJJLHPLUODZ34CZIPFQV \
  | 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: b832dda9894acef5d1c3cef82ca1e5854624d9d6e5ef4d58ed380e1b1a3c90ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53f507d7ae0a52b1257b437438e0d7fd5faf965987505a8b88d4cc6d5d41de7b",
    "cross_cats_sorted": [
      "math.DG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-01-12T12:59:42Z",
    "title_canon_sha256": "f4ebf863855b476baa64c14341265d5af9d48acc0927fd163dac72f679c25b98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2682",
    "kind": "arxiv",
    "version": 3
  }
}