Pith Number

pith:UHGP3DE2

pith:2012:UHGP3DE2E4DAOK2UASJ5YVNKEP

not attested not anchored not stored refs pending

On polytopal upper bound spheres

Basudeb Datta, Bhaskar Bagchi

arxiv:1207.5098 v1 · 2012-07-21 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UHGP3DE2E4DAOK2UASJ5YVNKEP}

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	2026-05-18T03:02:35.873812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1ccfd8c9a2706072b540493dc55aa23c58aa3cebcbda91b2c09539d53439291

Aliases

arxiv: 1207.5098 · arxiv_version: 1207.5098v1 · doi: 10.48550/arxiv.1207.5098 · pith_short_12: UHGP3DE2E4DA · pith_short_16: UHGP3DE2E4DAOK2U · pith_short_8: UHGP3DE2

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/UHGP3DE2E4DAOK2UASJ5YVNKEP \
  | 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: a1ccfd8c9a2706072b540493dc55aa23c58aa3cebcbda91b2c09539d53439291

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18531caf0ef5b9ea6a1b1971e747619ba781568772a8bd34b28b37f91f3c26ed",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-07-21T04:24:01Z",
    "title_canon_sha256": "88afdf5708548562989275bd11b552bd44546e5fcec9d1192a741eb54c2b78e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5098",
    "kind": "arxiv",
    "version": 1
  }
}