Pith Number

pith:SYB72QSK

pith:2010:SYB72QSKI3SHCEQALJNDLSCK3A

not attested not anchored not stored refs pending

Reconstructible graphs, simplicial flag complexes of homology manifolds and associated right-angled Coxeter groups

Tetsuya Hosaka

arxiv:1004.4719 v5 · 2010-04-27 · math.CO · 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{SYB72QSKI3SHCEQALJNDLSCK3A}

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	2026-05-18T02:24:16.040904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9603fd424a46e47112005a5a35c84ad8155270226370e8c079b41c19cf66f7e8

Aliases

arxiv: 1004.4719 · arxiv_version: 1004.4719v5 · doi: 10.48550/arxiv.1004.4719 · pith_short_12: SYB72QSKI3SH · pith_short_16: SYB72QSKI3SHCEQA · pith_short_8: SYB72QSK

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/SYB72QSKI3SHCEQALJNDLSCK3A \
  | 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: 9603fd424a46e47112005a5a35c84ad8155270226370e8c079b41c19cf66f7e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76c3f501f39663f3467eface39bf40697988e997f35760b7a0f6a6d0cde4a13e",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-04-27T06:19:18Z",
    "title_canon_sha256": "017f8a787ef4c24cec010b9c013eb87bd9b23b575b1db0efd4b5d0b9995543bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4719",
    "kind": "arxiv",
    "version": 5
  }
}