Pith Number

pith:36KG5T7S

pith:2007:36KG5T7SFICKSGXZUB22AFLAU2

not attested not anchored not stored refs pending

Horizontal Dehn Surgery and genericity in the curve complex

Martin Lustig, Yoav Moriah

arxiv:0711.4492 v4 · 2007-11-28 · 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{36KG5T7SFICKSGXZUB22AFLAU2}

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	2026-05-18T02:58:12.020949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df946ecff22a04a91af9a075a01560a689284f6638ca8fc4b4d2dac0562769be

Aliases

arxiv: 0711.4492 · arxiv_version: 0711.4492v4 · doi: 10.48550/arxiv.0711.4492 · pith_short_12: 36KG5T7SFICK · pith_short_16: 36KG5T7SFICKSGXZ · pith_short_8: 36KG5T7S

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/36KG5T7SFICKSGXZUB22AFLAU2 \
  | 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: df946ecff22a04a91af9a075a01560a689284f6638ca8fc4b4d2dac0562769be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfaaa6c4f969463ed7fe746580ff698e9a78c08ab1ff4fefe53bab95c86d9c39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2007-11-28T13:12:07Z",
    "title_canon_sha256": "616abed3fd322719f43fca4e91ff2ce07fea6e02ebac8845828327197ca2143e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.4492",
    "kind": "arxiv",
    "version": 4
  }
}