Pith Number

pith:MI5ZBICI

pith:2015:MI5ZBICINJ2QF6WWQACUYU2PK5

not attested not anchored not stored refs pending

Desingularizing $b^m$-symplectic structures

Eva Miranda, Jonathan Weitsman, Victor Guillemin

arxiv:1512.05303 v2 · 2015-12-16 · math.SG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MI5ZBICINJ2QF6WWQACUYU2PK5}

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	2026-05-18T00:12:01.040029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

623b90a0486a7502fad680054c534f5771db36a5777715ebb2185e92648e0217

Aliases

arxiv: 1512.05303 · arxiv_version: 1512.05303v2 · doi: 10.48550/arxiv.1512.05303 · pith_short_12: MI5ZBICINJ2Q · pith_short_16: MI5ZBICINJ2QF6WW · pith_short_8: MI5ZBICI

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/MI5ZBICINJ2QF6WWQACUYU2PK5 \
  | 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: 623b90a0486a7502fad680054c534f5771db36a5777715ebb2185e92648e0217

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f461ad064b9ecc7911337e8e177879e6399cbb9fdaa16821cf7b3dae01ee0c1",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-12-16T19:53:17Z",
    "title_canon_sha256": "165f4e67a6cc9a413346e801b0e5a5a0a18e265fad1cfd5aedc4fe7cacabf77b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05303",
    "kind": "arxiv",
    "version": 2
  }
}