pith. sign in
Pith Number

pith:FVNFCKZR

pith:2009:FVNFCKZRMMBBXIEBZ3IUGKDZ4J
not attested not anchored not stored refs pending

Rolling of Coxeter polyhedra along mirrors

Dmitri V. Alekseevsky, Peter W. Michor, Yurii A. Neretin

arxiv:0907.3502 v1 · 2009-07-20 · math.MG · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FVNFCKZRMMBBXIEBZ3IUGKDZ4J}

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 2026-05-18T03:11:22.401197Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2d5a512b3163021ba081ced1432879e270fe83f6d143e2aa8faf663e22a520c3

Aliases

arxiv: 0907.3502 · arxiv_version: 0907.3502v1 · doi: 10.48550/arxiv.0907.3502 · pith_short_12: FVNFCKZRMMBB · pith_short_16: FVNFCKZRMMBBXIEB · pith_short_8: FVNFCKZR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FVNFCKZRMMBBXIEBZ3IUGKDZ4J \
  | 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: 2d5a512b3163021ba081ced1432879e270fe83f6d143e2aa8faf663e22a520c3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e804cbf5f1e19bc8960d58e30a8754d7c18ad6d14a29c4cc317f731a8ee196a6",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2009-07-20T21:57:10Z",
    "title_canon_sha256": "1529cbe14cdd49824181232773b869e54d85d9e9c1636ef5d65e6590b592a011"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.3502",
    "kind": "arxiv",
    "version": 1
  }
}