Pith Number

pith:YKKRPVJQ

pith:2025:YKKRPVJQRTDEF5B3Q3IONZNJKU

not attested not anchored not stored refs pending

Coisotropic branes in symplectic manifolds

Charlotte Kirchhoff-Lukat, Marco Zambon

arxiv:2507.08620 v2 · 2025-07-11 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YKKRPVJQRTDEF5B3Q3IONZNJKU}

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	2026-07-01T00:17:08.271855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c29517d5308cc642f43b86d0e6e5a9551341ef4ee71157c173fa59bd65c72c50

Aliases

arxiv: 2507.08620 · arxiv_version: 2507.08620v2 · doi: 10.48550/arxiv.2507.08620 · pith_short_12: YKKRPVJQRTDE · pith_short_16: YKKRPVJQRTDEF5B3 · pith_short_8: YKKRPVJQ

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/YKKRPVJQRTDEF5B3Q3IONZNJKU \
  | 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: c29517d5308cc642f43b86d0e6e5a9551341ef4ee71157c173fa59bd65c72c50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bff19005aca5d20191a9e2814b495e9c670e1ce37d19eaba1973668698f67a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2025-07-11T14:21:17Z",
    "title_canon_sha256": "7230c44dbbf12f8f7004083d978439cba3ba775b6073005fb4a8f1cd9521b14d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08620",
    "kind": "arxiv",
    "version": 2
  }
}