Pith Number

pith:O7Z5IFC5

pith:2013:O7Z5IFC5YAK76QG3ENSRY2FKPB

not attested not anchored not stored refs pending

Graph manifolds Z-homology 3-spheres and taut foliations

Michel Boileau, Steven Boyer

arxiv:1303.5264 v1 · 2013-03-21 · 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{O7Z5IFC5YAK76QG3ENSRY2FKPB}

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	2026-05-18T01:53:09.872193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77f3d4145dc015ff40db23651c68aa78745ea9660c4bae2f576af85960165440

Aliases

arxiv: 1303.5264 · arxiv_version: 1303.5264v1 · doi: 10.48550/arxiv.1303.5264 · pith_short_12: O7Z5IFC5YAK7 · pith_short_16: O7Z5IFC5YAK76QG3 · pith_short_8: O7Z5IFC5

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/O7Z5IFC5YAK76QG3ENSRY2FKPB \
  | 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: 77f3d4145dc015ff40db23651c68aa78745ea9660c4bae2f576af85960165440

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2df5be0e5128ec00e74204fa3de4a27c926f8dc14d0f6bab50e4771bb30b8ff8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-03-21T14:33:18Z",
    "title_canon_sha256": "3b53d00a0d76deba827f0c5fd5e0f70921f6c83b10c233efb0ffec7d0d748945"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5264",
    "kind": "arxiv",
    "version": 1
  }
}