Pith Number

pith:OXJXORJU

pith:2008:OXJXORJUCODETSGECMNL22DXQ3

not attested not anchored not stored refs pending

Cusp areas of Farey manifolds and applications to knot theory

David Futer, Efstratia Kalfagianni, Jessica S. Purcell

arxiv:0808.2716 v4 · 2008-08-20 · 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{OXJXORJUCODETSGECMNL22DXQ3}

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	2026-05-18T04:34:54.453104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75d3774534138649c8c4131abd687786e02c800db0e0985f5db8a49260c9ed4c

Aliases

arxiv: 0808.2716 · arxiv_version: 0808.2716v4 · doi: 10.48550/arxiv.0808.2716 · pith_short_12: OXJXORJUCODE · pith_short_16: OXJXORJUCODETSGE · pith_short_8: OXJXORJU

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/OXJXORJUCODETSGECMNL22DXQ3 \
  | 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: 75d3774534138649c8c4131abd687786e02c800db0e0985f5db8a49260c9ed4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00463cc5e9c78393267319a13acc2fc64f528964006ae71b0ecfee51eddfd15a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-08-20T09:40:07Z",
    "title_canon_sha256": "4bbe627b6ab35b67773bbbc0c21a76dd6e885dbc6332a08fc919d888b5c13cd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2716",
    "kind": "arxiv",
    "version": 4
  }
}