Pith Number

pith:DEYTC5L6

pith:2012:DEYTC5L6WJ7WPQUUQ4N55IB46J

not attested not anchored not stored refs pending

Quasifuchsian state surfaces

David Futer, Efstratia Kalfagianni, Jessica S. Purcell

arxiv:1209.5719 v2 · 2012-09-25 · 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{DEYTC5L6WJ7WPQUUQ4N55IB46J}

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	2026-05-18T02:51:42.546683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

193131757eb27f67c294871bdea03cf27eb11b200e43d7be0e416c28da30e16e

Aliases

arxiv: 1209.5719 · arxiv_version: 1209.5719v2 · doi: 10.48550/arxiv.1209.5719 · pith_short_12: DEYTC5L6WJ7W · pith_short_16: DEYTC5L6WJ7WPQUU · pith_short_8: DEYTC5L6

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/DEYTC5L6WJ7WPQUUQ4N55IB46J \
  | 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: 193131757eb27f67c294871bdea03cf27eb11b200e43d7be0e416c28da30e16e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5476e0eaef62333f2371bcff1f25235e434b4e5f65bfbd6caca8c54d7b5560cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-09-25T18:49:25Z",
    "title_canon_sha256": "8d268cf05a2b4909687828d6f224f52e81234bc470ad2773f2538453f2983292"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5719",
    "kind": "arxiv",
    "version": 2
  }
}