Pith Number

pith:BHIWEMYV

pith:2017:BHIWEMYVP5WIFJRUEGDGPSDGCW

not attested not anchored not stored refs pending

Achiral 1-cusped hyperbolic 3-manifolds not coming from amphicheiral null-homologous knot complements

In Dae Jong, Kazuhiro Ichihara, Kouki Taniyama

arxiv:1709.09418 v1 · 2017-09-27 · 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{BHIWEMYVP5WIFJRUEGDGPSDGCW}

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	2026-05-18T00:34:11.815708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09d16233157f6c82a634218667c86615bee95410f9b8f1f6b606d848aa93e342

Aliases

arxiv: 1709.09418 · arxiv_version: 1709.09418v1 · doi: 10.48550/arxiv.1709.09418 · pith_short_12: BHIWEMYVP5WI · pith_short_16: BHIWEMYVP5WIFJRU · pith_short_8: BHIWEMYV

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/BHIWEMYVP5WIFJRUEGDGPSDGCW \
  | 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: 09d16233157f6c82a634218667c86615bee95410f9b8f1f6b606d848aa93e342

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5337cfccab287d5c195585856f743ead8c23240722c9584e04d74ee16011be19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-09-27T09:46:08Z",
    "title_canon_sha256": "1dcd6bc055fc256057a8e0fbe579ef784de7ef1a6efd967891ad3b008b6edbe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09418",
    "kind": "arxiv",
    "version": 1
  }
}