Pith Number

pith:67XSNCHH

pith:2007:67XSNCHHBCKHEPPZUKNET2PL7G

not attested not anchored not stored refs pending

Geodesible contact structures on 3--manifolds

Patrick Massot

arxiv:0711.0377 v2 · 2007-11-02 · math.GT · 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{67XSNCHHBCKHEPPZUKNET2PL7G}

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	2026-05-18T02:38:19.335221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7ef2688e70894723df9a29a49e9ebf9a65fdd595823550265b0e24f26b87e1d

Aliases

arxiv: 0711.0377 · arxiv_version: 0711.0377v2 · doi: 10.48550/arxiv.0711.0377 · pith_short_12: 67XSNCHHBCKH · pith_short_16: 67XSNCHHBCKHEPPZ · pith_short_8: 67XSNCHH

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/67XSNCHHBCKHEPPZUKNET2PL7G \
  | 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: f7ef2688e70894723df9a29a49e9ebf9a65fdd595823550265b0e24f26b87e1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b18ad41b27f85acc121b644778c839ea8940d345fb606637997d1aeceae8d30",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2007-11-02T19:54:27Z",
    "title_canon_sha256": "a3086e5cc44f89ae6375ca0e948e59f308561688857812e5a810a8286c753ca4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0377",
    "kind": "arxiv",
    "version": 2
  }
}