Pith Number

pith:TEQZXK42

pith:2024:TEQZXK42PYG4CZ23VLJQSO2CII

not attested not anchored not stored refs pending

Translation-like Apollonius and triangular surfaces in non-constant curvature Thurston geometries

G\'eza Csima, Jen\H{o} Szirmai

arxiv:2410.22955 v1 · 2024-10-30 · math.MG

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\usepackage{pith}
\pithnumber{TEQZXK42PYG4CZ23VLJQSO2CII}

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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.

Cited by

1 paper in Pith

Menelaus' and Ceva's theorems for translation triangles in Thurston geometries

Receipt and verification

First computed	2026-07-05T09:28:38.947207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99219bab9a7e0dc1675baad3093b42421849b4484a449c82c5158b2be7eecfb7

Aliases

arxiv: 2410.22955 · arxiv_version: 2410.22955v1 · doi: 10.48550/arxiv.2410.22955 · pith_short_12: TEQZXK42PYG4 · pith_short_16: TEQZXK42PYG4CZ23 · pith_short_8: TEQZXK42

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/TEQZXK42PYG4CZ23VLJQSO2CII \
  | 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: 99219bab9a7e0dc1675baad3093b42421849b4484a449c82c5158b2be7eecfb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54eb76d10f5154cfcbed64ff62b61c3fb771c39d7047106a847ccf16dafb812f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2024-10-30T12:09:38Z",
    "title_canon_sha256": "eece0d85efd185b5b55d9167a144cda341b32c5939c951a3ae92fb26fe6cbfa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.22955",
    "kind": "arxiv",
    "version": 1
  }
}