Pith Number

pith:KWFIE3NA

pith:2017:KWFIE3NAI3JWHXVRP5XYOB4WA5

not attested not anchored not stored refs pending

On groups with $S^2$ Bowditch boundary

Bena Tshishiku, Genevieve Walsh

arxiv:1710.09018 v3 · 2017-10-24 · 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{KWFIE3NAI3JWHXVRP5XYOB4WA5}

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	2026-07-05T03:21:03.275114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

558a826da046d363deb17f6f870796075c285dfa8e0bdd7a1f78effa7c574b0d

Aliases

arxiv: 1710.09018 · arxiv_version: 1710.09018v3 · doi: 10.48550/arxiv.1710.09018 · pith_short_12: KWFIE3NAI3JW · pith_short_16: KWFIE3NAI3JWHXVR · pith_short_8: KWFIE3NA

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/KWFIE3NAI3JWHXVRP5XYOB4WA5 \
  | 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: 558a826da046d363deb17f6f870796075c285dfa8e0bdd7a1f78effa7c574b0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c46ca859f2d940b66eb0c02504eac23d2fefa064f3cfe8a7604b597ed3b0e007",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-10-24T23:22:15Z",
    "title_canon_sha256": "8026f5e488a96df508469459723a83b19f9c280d9f678f2d213c119a34aca2f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09018",
    "kind": "arxiv",
    "version": 3
  }
}