Pith Number

pith:BTBKAZ4E

pith:2016:BTBKAZ4EX4UHO5DMKNZ2P5T656

not attested not anchored not stored refs pending

Numerically robust computation of circular visibility

Georg Maier, Stephan Brummer, Tomas Sauer

arxiv:1611.03356 v2 · 2016-11-09 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BTBKAZ4EX4UHO5DMKNZ2P5T656}

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	2026-05-18T00:28:56.732759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cc2a06784bf2877746c5373a7f67eefa801e5eed05c2e26c50a31e4fad81bc3

Aliases

arxiv: 1611.03356 · arxiv_version: 1611.03356v2 · doi: 10.48550/arxiv.1611.03356 · pith_short_12: BTBKAZ4EX4UH · pith_short_16: BTBKAZ4EX4UHO5DM · pith_short_8: BTBKAZ4E

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/BTBKAZ4EX4UHO5DMKNZ2P5T656 \
  | 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: 0cc2a06784bf2877746c5373a7f67eefa801e5eed05c2e26c50a31e4fad81bc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66f35ba4ffb3861ad4d75da2e431821fc348e559105ebe1fa2c70b9d5e2c102e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2016-11-09T13:41:38Z",
    "title_canon_sha256": "1c36720acc0ed6b6e50008c721ab42422d621e4b03fc08cf2b4a3b88aae3452e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03356",
    "kind": "arxiv",
    "version": 2
  }
}