Pith Number

pith:SYUJ2M4V

pith:2015:SYUJ2M4VH37M7O7DWYOCFFFLAB

not attested not anchored not stored refs pending

A note on acylindrical hyperbolicity of Mapping Class Groups

Alessandro Sisto, Piotr Przytycki

arxiv:1502.02176 v1 · 2015-02-07 · 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{SYUJ2M4VH37M7O7DWYOCFFFLAB}

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	2026-05-18T02:27:43.396664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96289d33953efecfbbe3b61c2294ab0072d65044b4a45a7f08b012a3c613d938

Aliases

arxiv: 1502.02176 · arxiv_version: 1502.02176v1 · doi: 10.48550/arxiv.1502.02176 · pith_short_12: SYUJ2M4VH37M · pith_short_16: SYUJ2M4VH37M7O7D · pith_short_8: SYUJ2M4V

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/SYUJ2M4VH37M7O7DWYOCFFFLAB \
  | 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: 96289d33953efecfbbe3b61c2294ab0072d65044b4a45a7f08b012a3c613d938

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0274c50d62087312d1dbf62d472786ca4aba8c095964b8830799a509212b864",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-02-07T19:31:12Z",
    "title_canon_sha256": "f81da63bf4617fea2a54caad94c6000ae4764039e96b3100bbfba1ee562fc7e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02176",
    "kind": "arxiv",
    "version": 1
  }
}