Pith Number

pith:XDFNLJ4I

pith:2011:XDFNLJ4ITETMHPL3PMRLI5Q7EA

not attested not anchored not stored refs pending

Delambre-Gauss Formulas for Augmented, Right-Angled Hexagons in Hyperbolic 4-Space

Ser Peow Tan, Yan Loi Wong, Ying Zhang

arxiv:1105.2697 v2 · 2011-05-13 · math.GT · math-ph · math.CV · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XDFNLJ4ITETMHPL3PMRLI5Q7EA}

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	2026-05-18T03:57:14.281286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8cad5a7889926c3bd7b7b22b4761f20160dcb52872a1ce7c4af37938b4eb5ec

Aliases

arxiv: 1105.2697 · arxiv_version: 1105.2697v2 · doi: 10.48550/arxiv.1105.2697 · pith_short_12: XDFNLJ4ITETM · pith_short_16: XDFNLJ4ITETMHPL3 · pith_short_8: XDFNLJ4I

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/XDFNLJ4ITETMHPL3PMRLI5Q7EA \
  | 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: b8cad5a7889926c3bd7b7b22b4761f20160dcb52872a1ce7c4af37938b4eb5ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea8451ba13aacde21cd932b51f0503ca75645a3414a9ebf1aaf16588c2aaed26",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-05-13T11:59:56Z",
    "title_canon_sha256": "a73108a4e2a1581424ef03dd165213c5c3da3f6ef2b2e646f89aa681060bee3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2697",
    "kind": "arxiv",
    "version": 2
  }
}