Pith Number

pith:DLFK6MD5

pith:2019:DLFK6MD5SY5XAK77XTG4RJMRXS

not attested not anchored not stored refs pending

Interior angle sums of geodesic triangles in $S^2 \times R$ and $H^2 \times R$ geometries

Jen\H{o} Szirmai

arxiv:1906.04037 v1 · 2019-06-07 · math.MG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DLFK6MD5SY5XAK77XTG4RJMRXS}

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	2026-05-17T23:43:44.109712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1acaaf307d963b702bffbccdc8a591bca83dd3b783df0cc47b72fefec13b295a

Aliases

arxiv: 1906.04037 · arxiv_version: 1906.04037v1 · doi: 10.48550/arxiv.1906.04037 · pith_short_12: DLFK6MD5SY5X · pith_short_16: DLFK6MD5SY5XAK77 · pith_short_8: DLFK6MD5

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/DLFK6MD5SY5XAK77XTG4RJMRXS \
  | 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: 1acaaf307d963b702bffbccdc8a591bca83dd3b783df0cc47b72fefec13b295a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "202837f3f77522b7e241e0339af4ed8b04119ceb32ba5c1b9ae3c805950ebd5e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-06-07T08:35:57Z",
    "title_canon_sha256": "894c24ff8cfd9717cb9e1577cba9ebf266e1824860beb881f3c18c9444526973"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.04037",
    "kind": "arxiv",
    "version": 1
  }
}