Pith Number

pith:EOMULCKD

pith:2016:EOMULCKDXTZ4G42XZOWYAJDG3K

not attested not anchored not stored refs pending

The action of the mapping class group on the space of geodesic rays of a punctured hyperbolic surface

Brian H. Bowditch, Makoto Sakuma

arxiv:1608.03009 v1 · 2016-08-10 · 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{EOMULCKDXTZ4G42XZOWYAJDG3K}

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	2026-05-18T01:09:30.474371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2399458943bcf3c37357cbad802466da90383d9258ea84b3fa2169fe0e4cb2c1

Aliases

arxiv: 1608.03009 · arxiv_version: 1608.03009v1 · doi: 10.48550/arxiv.1608.03009 · pith_short_12: EOMULCKDXTZ4 · pith_short_16: EOMULCKDXTZ4G42X · pith_short_8: EOMULCKD

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/EOMULCKDXTZ4G42XZOWYAJDG3K \
  | 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: 2399458943bcf3c37357cbad802466da90383d9258ea84b3fa2169fe0e4cb2c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e45c0a8bb0015058a295b06c8f04a1fccb512e79c28d695a2ce3820c3e792f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-08-10T00:17:00Z",
    "title_canon_sha256": "9be20352456d868a66c339b5bbcf1224a21b2e30832f74ba6ff150dc5d08117b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03009",
    "kind": "arxiv",
    "version": 1
  }
}