Pith Number

pith:PSGVIPKP

pith:2011:PSGVIPKPDSBXJJYYVHG2G2ELA4

not attested not anchored not stored refs pending

Cusp geometry of fibered 3-manifolds

David Futer, Saul Schleimer

arxiv:1108.5748 v2 · 2011-08-29 · 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{PSGVIPKPDSBXJJYYVHG2G2ELA4}

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	2026-05-18T02:55:18.822998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c8d543d4f1c8374a718a9cda3688b0703a0da07e8b24e603d5c79b367a035f5

Aliases

arxiv: 1108.5748 · arxiv_version: 1108.5748v2 · doi: 10.48550/arxiv.1108.5748 · pith_short_12: PSGVIPKPDSBX · pith_short_16: PSGVIPKPDSBXJJYY · pith_short_8: PSGVIPKP

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/PSGVIPKPDSBXJJYYVHG2G2ELA4 \
  | 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: 7c8d543d4f1c8374a718a9cda3688b0703a0da07e8b24e603d5c79b367a035f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3977ce033a1b6252aae5c61eb97025d4c4c07a08578a358b2d3294223ca0d4e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-08-29T20:40:54Z",
    "title_canon_sha256": "85fe0ea15027752a3a0572923faf239855fa2063a58a162fc499ebfac19c8936"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5748",
    "kind": "arxiv",
    "version": 2
  }
}