Pith Number

pith:MVXOA7SA

pith:2000:MVXOA7SAMZ7UCJ2BAU6UFSOVJW

not attested not anchored not stored refs pending

The Topological Structure of Contact and Symplectic Quotients

Christopher Willett, Eugene Lerman

arxiv:math/0008178 v1 · 2000-08-22 · 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{MVXOA7SAMZ7UCJ2BAU6UFSOVJW}

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	2026-07-04T14:34:39.847777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

656ee07e40667f412741053d42c9d54da99637cc709dd5311c8a1229d2fb564b

Aliases

arxiv: math/0008178 · arxiv_version: math/0008178v1 · doi: 10.48550/arxiv.math/0008178 · pith_short_12: MVXOA7SAMZ7U · pith_short_16: MVXOA7SAMZ7UCJ2B · pith_short_8: MVXOA7SA

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/MVXOA7SAMZ7UCJ2BAU6UFSOVJW \
  | 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: 656ee07e40667f412741053d42c9d54da99637cc709dd5311c8a1229d2fb564b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "008cca9311a356e76ab89f101a81e3c544277435a03068e5a9f922d7a1b298b4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2000-08-22T22:35:46Z",
    "title_canon_sha256": "5b2875841fa977f85ae00010434b7f55a33aafafb6d148eaec4f6b084125ea85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0008178",
    "kind": "arxiv",
    "version": 1
  }
}