Pith Number

pith:RLHIODBA

pith:2025:RLHIODBAQHJXV6LT24HIM5HFYV

not attested not anchored not stored refs pending

Revisiting Taxicab Apollonius Circles

Kevin P. Thompson

arxiv:2506.12058 v1 · 2025-05-31 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RLHIODBAQHJXV6LT24HIM5HFYV}

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	2026-07-05T11:21:16.430000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ace870c2081d37af973d70e8674e5c57cd64bd2acbe12a9cca1f7ec02dcbac7

Aliases

arxiv: 2506.12058 · arxiv_version: 2506.12058v1 · doi: 10.48550/arxiv.2506.12058 · pith_short_12: RLHIODBAQHJX · pith_short_16: RLHIODBAQHJXV6LT · pith_short_8: RLHIODBA

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/RLHIODBAQHJXV6LT24HIM5HFYV \
  | 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: 8ace870c2081d37af973d70e8674e5c57cd64bd2acbe12a9cca1f7ec02dcbac7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e1041ee1efd10477d06d4deea2fc128f3232be5db65a636ff4cff38c94afec0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2025-05-31T01:33:09Z",
    "title_canon_sha256": "6101e3b5d7f8b372198913f7f14e7a162792440f4c3eb92fe3f25fc4cdf88d74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.12058",
    "kind": "arxiv",
    "version": 1
  }
}