Pith Number

pith:HJKKG3FK

pith:2019:HJKKG3FKMN7QYFRGCHWDABIL3V

not attested not anchored not stored refs pending

The complexity of orientable graph manifolds

Alessia Cattabriga, Michele Mulazzani

arxiv:1902.03881 v5 · 2019-02-11 · 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{HJKKG3FKMN7QYFRGCHWDABIL3V}

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	2026-05-17T23:47:15.635125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a54a36caa637f0c162611ec30050bdd44f17cea66f00e139085cd69f557ed31

Aliases

arxiv: 1902.03881 · arxiv_version: 1902.03881v5 · doi: 10.48550/arxiv.1902.03881 · pith_short_12: HJKKG3FKMN7Q · pith_short_16: HJKKG3FKMN7QYFRG · pith_short_8: HJKKG3FK

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/HJKKG3FKMN7QYFRGCHWDABIL3V \
  | 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: 3a54a36caa637f0c162611ec30050bdd44f17cea66f00e139085cd69f557ed31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b57c5b79212d42bcfb64e3f169b488f74cdfb66aeb45fc0dadfc6dda6594ce7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-02-11T14:01:32Z",
    "title_canon_sha256": "76ca8d2e4992c7f4a244496c74872f1d377637cffa87a3caa5f35d764d499c05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.03881",
    "kind": "arxiv",
    "version": 5
  }
}