Pith Number

pith:XXLMP4NH

pith:2004:XXLMP4NHZN6AKYVICHXIWXWMQW

not attested not anchored not stored refs pending

The maximal tubes under the deformations of a class of 3-dimensional hyperbolic cone-manifolds

Suhyoung Choi

arxiv:math/0405269 v1 · 2004-05-14 · 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{XXLMP4NHZN6AKYVICHXIWXWMQW}

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	2026-05-18T01:12:21.537827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdd6c7f1a7cb7c0562a811ee8b5ecc8584295f3cd8d630b6f78d5bd9038a4d7f

Aliases

arxiv: math/0405269 · arxiv_version: math/0405269v1 · doi: 10.48550/arxiv.math/0405269 · pith_short_12: XXLMP4NHZN6A · pith_short_16: XXLMP4NHZN6AKYVI · pith_short_8: XXLMP4NH

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/XXLMP4NHZN6AKYVICHXIWXWMQW \
  | 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: bdd6c7f1a7cb7c0562a811ee8b5ecc8584295f3cd8d630b6f78d5bd9038a4d7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c45a0075b95b6cf49275d5e1cf97954b5b293e9897f3228dee863855fce261b2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-05-14T06:29:20Z",
    "title_canon_sha256": "3299339d0630de173e5ccf974638145635e773f394c30540930154138fb6dd17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405269",
    "kind": "arxiv",
    "version": 1
  }
}