Pith Number

pith:6KDXIVFQ

pith:2012:6KDXIVFQE2ZFMSFQ577DA57CFI

not attested not anchored not stored refs pending

The equal tangents property

G. Ruiz-Hernandez, J. Jeronimo-Castro, S. Tabachnikov

arxiv:1205.0142 v2 · 2012-05-01 · 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{6KDXIVFQE2ZFMSFQ577DA57CFI}

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	2026-05-18T03:56:23.896909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2877454b026b25648b0effe3077e22a10249b6101c499b21e27749c1ce68106

Aliases

arxiv: 1205.0142 · arxiv_version: 1205.0142v2 · doi: 10.48550/arxiv.1205.0142 · pith_short_12: 6KDXIVFQE2ZF · pith_short_16: 6KDXIVFQE2ZFMSFQ · pith_short_8: 6KDXIVFQ

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/6KDXIVFQE2ZFMSFQ577DA57CFI \
  | 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: f2877454b026b25648b0effe3077e22a10249b6101c499b21e27749c1ce68106

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f4027798ba89302a06743a8851cfbe3aaa661a080b49921a69f2031ba444eab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-05-01T11:38:04Z",
    "title_canon_sha256": "1d7e4b8584580ed32f2c308338fc4b3fc35682dc36f95dd249270dd1cd99d23b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0142",
    "kind": "arxiv",
    "version": 2
  }
}