Pith Number

pith:7FI7LSNK

pith:2012:7FI7LSNKLC7H3NSVONVDY72XAM

not attested not anchored not stored refs pending

Solution of Sondow's problem: a synthetic proof of the tangency property of the parbelos

Emmanuel Tsukerman

arxiv:1210.5580 v2 · 2012-10-20 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7FI7LSNKLC7H3NSVONVDY72XAM}

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	2026-05-18T02:49:30.042388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f951f5c9aa58be7db655736a3c7f57030e27f94c55730ff84022eaf0adce720e

Aliases

arxiv: 1210.5580 · arxiv_version: 1210.5580v2 · doi: 10.48550/arxiv.1210.5580 · pith_short_12: 7FI7LSNKLC7H · pith_short_16: 7FI7LSNKLC7H3NSV · pith_short_8: 7FI7LSNK

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/7FI7LSNKLC7H3NSVONVDY72XAM \
  | 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: f951f5c9aa58be7db655736a3c7f57030e27f94c55730ff84022eaf0adce720e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e5fe04261afc2d138e0af7368e4152c37bddde27279561cb7c37681fcfd6965",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-10-20T05:46:08Z",
    "title_canon_sha256": "9d9c9b37a7d9d62cb036c4b9cdeb14ad76e4553596b64a6e2b73498d6283f49d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5580",
    "kind": "arxiv",
    "version": 2
  }
}