Pith Number

pith:7AM5R6ZD

pith:2015:7AM5R6ZDDDWQZVPGTTXK66WGUZ

not attested not anchored not stored refs pending

Six-point configurations in the hyperbolic plane and ergodicity of the mapping class group

Julien March\'e, Maxime Wolff

arxiv:1509.02290 v1 · 2015-09-08 · 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{7AM5R6ZDDDWQZVPGTTXK66WGUZ}

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	2026-05-18T01:33:41.312166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f819d8fb2318ed0cd5e69ceeaf7ac6a665fe9b31a2047b8653245780ed29d4fd

Aliases

arxiv: 1509.02290 · arxiv_version: 1509.02290v1 · doi: 10.48550/arxiv.1509.02290 · pith_short_12: 7AM5R6ZDDDWQ · pith_short_16: 7AM5R6ZDDDWQZVPG · pith_short_8: 7AM5R6ZD

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/7AM5R6ZDDDWQZVPGTTXK66WGUZ \
  | 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: f819d8fb2318ed0cd5e69ceeaf7ac6a665fe9b31a2047b8653245780ed29d4fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "194ffccc99e4d2dc36c350cd1a338d1fdc93602043c1a8b4675f8047e4f80d6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-08T09:16:47Z",
    "title_canon_sha256": "a5eeaf46a006b6f05f89b21a2f949e798df30384929b40ea67c370e5ba4ab103"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02290",
    "kind": "arxiv",
    "version": 1
  }
}