Pith Number

pith:MISWZPIJ

pith:2020:MISWZPIJITCK7FWIVEJKWO554F

not attested not anchored not stored refs pending

A combinatorial take on hierarchical hyperbolicity and applications to quotients of mapping class groups

Alessandro Sisto, Alexandre Martin, Jason Behrstock, Mark Hagen

arxiv:2005.00567 v3 · 2020-05-01 · math.GR · 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{MISWZPIJITCK7FWIVEJKWO554F}

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.

Cited by

1 paper in Pith

Periodic quasiflats in hierarchically hyperbolic spaces

Receipt and verification

First computed	2026-07-05T08:35:17.447803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62256cbd0944c4af96c8a912ab3bbde15fbeaa73484f50289ee5d963f4006693

Aliases

arxiv: 2005.00567 · arxiv_version: 2005.00567v3 · doi: 10.48550/arxiv.2005.00567 · pith_short_12: MISWZPIJITCK · pith_short_16: MISWZPIJITCK7FWI · pith_short_8: MISWZPIJ

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/MISWZPIJITCK7FWIVEJKWO554F \
  | 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: 62256cbd0944c4af96c8a912ab3bbde15fbeaa73484f50289ee5d963f4006693

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5aaeca0931b36b46bb0a5ee0949374088292f8fe379ecc10cc34cd7a36da0d88",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2020-05-01T18:42:33Z",
    "title_canon_sha256": "551939c5ab96b02ce59ee43aa835126cd099dd5785bbf9c18af5ac98e809d67a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.00567",
    "kind": "arxiv",
    "version": 3
  }
}