Pith Number

pith:5U6LCASQ

pith:2013:5U6LCASQOJDK27JLGDQC2K7UD4

not attested not anchored not stored refs pending

Hyperbolicity of the graph of non-separating multicurves

Ursula Hamenstaedt

arxiv:1304.4307 v2 · 2013-04-16 · 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{5U6LCASQOJDK27JLGDQC2K7UD4}

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	2026-05-18T03:11:57.574761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed3cb102507246ad7d2b30e02d2bf41f3e4a74e486b78b9303c49f803769a887

Aliases

arxiv: 1304.4307 · arxiv_version: 1304.4307v2 · doi: 10.48550/arxiv.1304.4307 · pith_short_12: 5U6LCASQOJDK · pith_short_16: 5U6LCASQOJDK27JL · pith_short_8: 5U6LCASQ

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/5U6LCASQOJDK27JLGDQC2K7UD4 \
  | 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: ed3cb102507246ad7d2b30e02d2bf41f3e4a74e486b78b9303c49f803769a887

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f904a346815182a00dba04d7b0cfc2bdcf4d161edf81709674d90c8449482fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-04-16T01:59:20Z",
    "title_canon_sha256": "11ba5305c6ab6675b25b649de75e62770e5246b0e223f946421c0e4fb2189e04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4307",
    "kind": "arxiv",
    "version": 2
  }
}