Pith Number

pith:JWSWSDAC

pith:2010:JWSWSDACOKWGHOCDI5YJQK2SYB

not attested not anchored not stored refs pending

Symplectic $T_7$, $T_8$ singularities and Lagrangian tangency orders

Wojciech Domitrz, \.Zaneta Tr\c{e}bska

arxiv:1001.3351 v3 · 2010-01-19 · 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{JWSWSDACOKWGHOCDI5YJQK2SYB}

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	2026-05-18T03:41:30.955991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4da5690c0272ac63b8434770982b52c058d2a19264e162c983793d391efc0453

Aliases

arxiv: 1001.3351 · arxiv_version: 1001.3351v3 · doi: 10.48550/arxiv.1001.3351 · pith_short_12: JWSWSDACOKWG · pith_short_16: JWSWSDACOKWGHOCD · pith_short_8: JWSWSDAC

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/JWSWSDACOKWGHOCDI5YJQK2SYB \
  | 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: 4da5690c0272ac63b8434770982b52c058d2a19264e162c983793d391efc0453

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2a95d0c20501128c933778e8da10bf42be22c492c2d0f0046f1af76a5feca06",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-01-19T16:22:47Z",
    "title_canon_sha256": "6c244e3eb01503d58cee3fce9a27215aa4d32b4074b8aecd6f49eec230d9aa56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3351",
    "kind": "arxiv",
    "version": 3
  }
}