Pith Number

pith:WBNRMZLK

pith:2017:WBNRMZLKOUWEXYTYHBDP7V3CM4

not attested not anchored not stored refs pending

The virtual Thurston seminorm of 3-manifolds

Michel Boileau, Stefan Friedl

arxiv:1709.06485 v1 · 2017-09-19 · 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{WBNRMZLKOUWEXYTYHBDP7V3CM4}

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	2026-05-18T00:34:45.678191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b05b16656a752c4be2783846ffd76267217386659fa08a986cb1a90ba11787b3

Aliases

arxiv: 1709.06485 · arxiv_version: 1709.06485v1 · doi: 10.48550/arxiv.1709.06485 · pith_short_12: WBNRMZLKOUWE · pith_short_16: WBNRMZLKOUWEXYTY · pith_short_8: WBNRMZLK

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/WBNRMZLKOUWEXYTYHBDP7V3CM4 \
  | 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: b05b16656a752c4be2783846ffd76267217386659fa08a986cb1a90ba11787b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8168a098841591eaede33bac765ee148442d618155b753000b39065d4ba89aac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-09-19T15:20:18Z",
    "title_canon_sha256": "1787c6d39ddcd5d7958cd44c150a7f99ef21deba87e5dbe1d19c6d20660369da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06485",
    "kind": "arxiv",
    "version": 1
  }
}