Pith Number

pith:72RGI744

pith:2020:72RGI744JNA74N2CUCJ5O23NM5

not attested not anchored not stored refs pending

Dirichlet-Voronoi domain and injectivity radius of flag manifolds -- equivariant cell structure on $O(3)/O(1)^3$

Arthur Garnier

arxiv:2011.06338 v5 · 2020-11-12 · math.DG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72RGI744JNA74N2CUCJ5O23NM5}

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	2026-07-01T01:18:23.482186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fea2647f9c4b41fe3742a093d76b6d675e740557e0223ef9e9b810117e3ed926

Aliases

arxiv: 2011.06338 · arxiv_version: 2011.06338v5 · doi: 10.48550/arxiv.2011.06338 · pith_short_12: 72RGI744JNA7 · pith_short_16: 72RGI744JNA74N2C · pith_short_8: 72RGI744

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/72RGI744JNA74N2CUCJ5O23NM5 \
  | 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: fea2647f9c4b41fe3742a093d76b6d675e740557e0223ef9e9b810117e3ed926

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82270da887429c1d081c82dd4ffec77c12b1dfca2486aae04b7aba8ec5bb4fe1",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-11-12T12:15:54Z",
    "title_canon_sha256": "4fff85f2bf19b37c0b56d387f857d0def3b3815d14b04e2086dd32d7b2ac2413"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.06338",
    "kind": "arxiv",
    "version": 5
  }
}