Pith Number

pith:YWFNQ7IC

pith:2012:YWFNQ7ICNP43L7UID3UWZGPPXG

not attested not anchored not stored refs pending

Finite rigid sets in curve complexes

Christopher J. Leininger, Javier Aramayona

arxiv:1206.3114 v3 · 2012-06-14 · math.GT · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YWFNQ7ICNP43L7UID3UWZGPPXG}

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	2026-05-18T03:50:11.976170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c58ad87d026bf9b5fe881ee96c99efb993024a7d54fe8b5db34e66703665416b

Aliases

arxiv: 1206.3114 · arxiv_version: 1206.3114v3 · doi: 10.48550/arxiv.1206.3114 · pith_short_12: YWFNQ7ICNP43 · pith_short_16: YWFNQ7ICNP43L7UI · pith_short_8: YWFNQ7IC

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/YWFNQ7ICNP43L7UID3UWZGPPXG \
  | 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: c58ad87d026bf9b5fe881ee96c99efb993024a7d54fe8b5db34e66703665416b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17ff1ae0cca19b07e840cfead28df11057a3250fad777e306ed1f11c19ae00cf",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-06-14T14:09:06Z",
    "title_canon_sha256": "e2dc72d74a2412bce719c298bc86fbc2a97ab5b3b458b89d8f1ad0a845b3b848"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3114",
    "kind": "arxiv",
    "version": 3
  }
}