Pith Number

pith:NAVS74P4

pith:2015:NAVS74P4FBFIAUVU6MGFVB5U3H

not attested not anchored not stored refs pending

The profinite completion of $3$-manifold groups, fiberedness and the Thurston norm

Michel Boileau, Stefan Friedl

arxiv:1505.07799 v1 · 2015-05-28 · math.GT · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NAVS74P4FBFIAUVU6MGFVB5U3H}

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	2026-05-18T02:00:55.818084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

682b2ff1fc284a8052b4f30c5a87b4d9ea66e9a7241e3ef2483920cca3c7ac6a

Aliases

arxiv: 1505.07799 · arxiv_version: 1505.07799v1 · doi: 10.48550/arxiv.1505.07799 · pith_short_12: NAVS74P4FBFI · pith_short_16: NAVS74P4FBFIAUVU · pith_short_8: NAVS74P4

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/NAVS74P4FBFIAUVU6MGFVB5U3H \
  | 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: 682b2ff1fc284a8052b4f30c5a87b4d9ea66e9a7241e3ef2483920cca3c7ac6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6714dadf6a6bea2890b78cd3c743e7cfea02ff4325af6c24c275fcc376ccff44",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-05-28T19:00:09Z",
    "title_canon_sha256": "d4c6140ddbb5a39f062227f51805b33609b3fe1c791277d704f379cef434b196"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07799",
    "kind": "arxiv",
    "version": 1
  }
}