Pith Number

pith:JSYIWMXD

pith:2009:JSYIWMXDIK2B7W3JNPXT5JEZJH

not attested not anchored not stored refs pending

Tight contact structures on the Brieskorn spheres -\Sigma(2,3,6n-1) and contact invariants

Jeremy Van Horn-Morris, Paolo Ghiggini

arxiv:0910.2752 v4 · 2009-10-15 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JSYIWMXDIK2B7W3JNPXT5JEZJH}

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	2026-05-18T03:03:55.523586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cb08b32e342b41fdb696bef3ea49949d48933554852f06863233a0b85e17768

Aliases

arxiv: 0910.2752 · arxiv_version: 0910.2752v4 · doi: 10.48550/arxiv.0910.2752 · pith_short_12: JSYIWMXDIK2B · pith_short_16: JSYIWMXDIK2B7W3J · pith_short_8: JSYIWMXD

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/JSYIWMXDIK2B7W3JNPXT5JEZJH \
  | 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: 4cb08b32e342b41fdb696bef3ea49949d48933554852f06863233a0b85e17768

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e29121ca607ca3506be6ad68b41a40ac1a6d657d88ec68e467731a2a3c6cd718",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-10-15T00:09:25Z",
    "title_canon_sha256": "170d402e0ec07319bdc8e0b5e7e45f4b2ab0e5ee0a77974346599b9d7fe60ee7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2752",
    "kind": "arxiv",
    "version": 4
  }
}