Pith Number

pith:DKXRL7UH

pith:2021:DKXRL7UHWD7APHQPZZWDQU6YLJ

not attested not anchored not stored refs pending

Simple closed geodesics in cusped hyperbolic 3-manifolds

Feihuang Xia

arxiv:2110.14376 v1 · 2021-10-27 · 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{DKXRL7UHWD7APHQPZZWDQU6YLJ}

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	2026-07-05T03:26:27.099043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1aaf15fe87b0fe079e0fce6c3853d85a535be6c27ad64ce4ca7103ae68bf0bc6

Aliases

arxiv: 2110.14376 · arxiv_version: 2110.14376v1 · doi: 10.48550/arxiv.2110.14376 · pith_short_12: DKXRL7UHWD7A · pith_short_16: DKXRL7UHWD7APHQP · pith_short_8: DKXRL7UH

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/DKXRL7UHWD7APHQPZZWDQU6YLJ \
  | 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: 1aaf15fe87b0fe079e0fce6c3853d85a535be6c27ad64ce4ca7103ae68bf0bc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09df7a5c93331cf73383ddca8d849d364a123717a4ad3aa39ac93b4312162c02",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-10-27T12:20:47Z",
    "title_canon_sha256": "09eec0b2a19b67906a073d39e8c5ed04d8b0a6a6cc8e56e2d057293dafd91e2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.14376",
    "kind": "arxiv",
    "version": 1
  }
}