Pith Number

pith:KNRUKJSB

pith:2022:KNRUKJSBGSOCWGFJU74CCB7KTI

not attested not anchored not stored refs pending

The geometry of genericity in mapping class groups and Teichm\"uller spaces via CAT(0) cube complexes

Abdul Zalloum, Matthew Gentry Durham

arxiv:2207.06516 v1 · 2022-07-13 · math.GT · math.GR · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KNRUKJSBGSOCWGFJU74CCB7KTI}

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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	2026-07-05T04:40:13.452476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5363452641349c2b18a9a7f82107ea9a1a4b3a8767b72252c04e7a7374bfccda

Aliases

arxiv: 2207.06516 · arxiv_version: 2207.06516v1 · doi: 10.48550/arxiv.2207.06516 · pith_short_12: KNRUKJSBGSOC · pith_short_16: KNRUKJSBGSOCWGFJ · pith_short_8: KNRUKJSB

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/KNRUKJSBGSOCWGFJU74CCB7KTI \
  | 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: 5363452641349c2b18a9a7f82107ea9a1a4b3a8767b72252c04e7a7374bfccda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43cf2fe933e2323ed6e3e3c115fa7bb2f5b056fe630c2baf74f81a767dc6cca8",
    "cross_cats_sorted": [
      "math.GR",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-07-13T20:36:02Z",
    "title_canon_sha256": "ca6cd83ca0ddd6b3614ead76b275663929cfc10d72bddac9e2d8bd78123e70df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.06516",
    "kind": "arxiv",
    "version": 1
  }
}