Pith Number

pith:F4P4CGSI

pith:2006:F4P4CGSIJBZ5OFCWTGEKU4U6NE

not attested not anchored not stored refs pending

Closed Quasi-Fuchsian Surfaces In Hyperbolic Knot Complements

Joseph D. Masters, Xingru Zhang

arxiv:math/0601445 v3 · 2006-01-18 · 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{F4P4CGSIJBZ5OFCWTGEKU4U6NE}

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	2026-05-18T02:37:59.644401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f1fc11a484873d714569988aa729e6900aa705b5388cff989518b2a5b4d13de

Aliases

arxiv: math/0601445 · arxiv_version: math/0601445v3 · doi: 10.48550/arxiv.math/0601445 · pith_short_12: F4P4CGSIJBZ5 · pith_short_16: F4P4CGSIJBZ5OFCW · pith_short_8: F4P4CGSI

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/F4P4CGSIJBZ5OFCWTGEKU4U6NE \
  | 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: 2f1fc11a484873d714569988aa729e6900aa705b5388cff989518b2a5b4d13de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "932048e0964ce40c00e294abdf6b8b003051ead10773003cdc3c17ca94054322",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-01-18T20:59:02Z",
    "title_canon_sha256": "17360f3318594cbe949baf5a4914b741da1f78150ad301943ed066496ffaeebd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601445",
    "kind": "arxiv",
    "version": 3
  }
}