Pith Number

pith:M33HXAW2

pith:2024:M33HXAW2T4NC3NMDVS54GZIBTF

not attested not anchored not stored refs pending

Sesquicuspidal curves, scattering diagrams, and symplectic nonsqueezing

Dusa McDuff, Kyler Siegel

arxiv:2412.00561 v2 · 2024-11-30 · math.AG · 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{M33HXAW2T4NC3NMDVS54GZIBTF}

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	2026-07-05T11:37:12.642718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66f67b82da9f1a2db583acbbc3650199461eb66de0f594f7039f8c50802df348

Aliases

arxiv: 2412.00561 · arxiv_version: 2412.00561v2 · doi: 10.48550/arxiv.2412.00561 · pith_short_12: M33HXAW2T4NC · pith_short_16: M33HXAW2T4NC3NMD · pith_short_8: M33HXAW2

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/M33HXAW2T4NC3NMDVS54GZIBTF \
  | 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: 66f67b82da9f1a2db583acbbc3650199461eb66de0f594f7039f8c50802df348

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74256a130f99b36ee0cc571301482825fccbe7502e88b1326f4b92fdb7c5b96b",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-11-30T19:19:06Z",
    "title_canon_sha256": "9f20780fb4f53d4429bb8919f95567fbf3afa8581f896260cef065704c6d84df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.00561",
    "kind": "arxiv",
    "version": 2
  }
}