Pith Number

pith:M7RIP7BB

pith:2013:M7RIP7BBCCTBVZS6RDAYN5AICX

not attested not anchored not stored refs pending

Apollonian Equilateral Triangles

Christina Chen, Nan Li

arxiv:1303.0203 v1 · 2013-03-01 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M7RIP7BBCCTBVZS6RDAYN5AICX}

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	2026-05-18T03:32:06.568976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67e287fc2110a61ae65e88c186f40815fed5a1df47be3682c905b1b71394c8cf

Aliases

arxiv: 1303.0203 · arxiv_version: 1303.0203v1 · doi: 10.48550/arxiv.1303.0203 · pith_short_12: M7RIP7BBCCTB · pith_short_16: M7RIP7BBCCTBVZS6 · pith_short_8: M7RIP7BB

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/M7RIP7BBCCTBVZS6RDAYN5AICX \
  | 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: 67e287fc2110a61ae65e88c186f40815fed5a1df47be3682c905b1b71394c8cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0d606b742bc2e3f41863cb56114503f8e64e582843325fe0cb650872ee9a18c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-03-01T15:53:27Z",
    "title_canon_sha256": "f77722ac663727f628d41d2d202a56c07f051fd3eea298bf8eaf9bb34f2644c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0203",
    "kind": "arxiv",
    "version": 1
  }
}