Pith Number

pith:NLCYVCDW

pith:2012:NLCYVCDWULJRT75AOEOC62NFKE

not attested not anchored not stored refs pending

Centralizers in 3-manifold groups

Stefan Friedl

arxiv:1205.2386 v1 · 2012-05-10 · 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{NLCYVCDWULJRT75AOEOC62NFKE}

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	2026-05-18T03:55:55.672676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ac58a8876a2d319ffa0711c2f69a5513a9759deefd9c6f202c79149300930e1

Aliases

arxiv: 1205.2386 · arxiv_version: 1205.2386v1 · doi: 10.48550/arxiv.1205.2386 · pith_short_12: NLCYVCDWULJR · pith_short_16: NLCYVCDWULJRT75A · pith_short_8: NLCYVCDW

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/NLCYVCDWULJRT75AOEOC62NFKE \
  | 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: 6ac58a8876a2d319ffa0711c2f69a5513a9759deefd9c6f202c79149300930e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70cb8cdde8a0a573ce946239f91c97669f7dec531744942c85a333a1c630fdb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-05-10T20:40:17Z",
    "title_canon_sha256": "3dbfa9b74cb0a177cde02ad0086fcc459ba1da4b0ffb44c0de87446fd440252c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2386",
    "kind": "arxiv",
    "version": 1
  }
}