Pith Number

pith:TIWGBBYF

pith:2022:TIWGBBYFYDHD7QZRG2CQHNEJA5

not attested not anchored not stored refs pending

Distinct Angles and Angle Chains in Three Dimensions

Eyvindur A. Palsson, Francisco Romero Acosta, Jacob Lehmann Duke, Livia Betti, Ruben Ascoli, Santiago Velazquez Iannuzzelli, Steven J. Miller, Wyatt Milgrim, Xuyan Liu

arxiv:2208.13284 v3 · 2022-08-28 · cs.CG · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIWGBBYFYDHD7QZRG2CQHNEJA5}

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	2026-07-05T06:22:59.293486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a2c608705c0ce3fc331368503b4890767fa3fae9ed8759e080cec5508385e5c

Aliases

arxiv: 2208.13284 · arxiv_version: 2208.13284v3 · doi: 10.48550/arxiv.2208.13284 · pith_short_12: TIWGBBYFYDHD · pith_short_16: TIWGBBYFYDHD7QZR · pith_short_8: TIWGBBYF

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/TIWGBBYFYDHD7QZRG2CQHNEJA5 \
  | 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: 9a2c608705c0ce3fc331368503b4890767fa3fae9ed8759e080cec5508385e5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76de10d116a5db8ea09d1256b4b5740dfbca9452834aaebda9fe9107e2205731",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2022-08-28T20:28:11Z",
    "title_canon_sha256": "21193e167a04c1f1b829cef066a4a71cee57b7bbb026257177d1a2b61e9b69cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.13284",
    "kind": "arxiv",
    "version": 3
  }
}