Pith Number

pith:PCSNKGYO

pith:2010:PCSNKGYOF6O4DJFTPK6A2TYB75

not attested not anchored not stored refs pending

A simple proof of Tyurin's babylonian tower theorem

Iustin Coanda

arxiv:1011.0870 v1 · 2010-11-03 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCSNKGYOF6O4DJFTPK6A2TYB75}

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	2026-05-18T04:37:12.188392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78a4d51b0e2f9dc1a4b37abc0d4f01ff7405182507bfa4f01c9ad7c7ec9bb77b

Aliases

arxiv: 1011.0870 · arxiv_version: 1011.0870v1 · doi: 10.48550/arxiv.1011.0870 · pith_short_12: PCSNKGYOF6O4 · pith_short_16: PCSNKGYOF6O4DJFT · pith_short_8: PCSNKGYO

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/PCSNKGYOF6O4DJFTPK6A2TYB75 \
  | 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: 78a4d51b0e2f9dc1a4b37abc0d4f01ff7405182507bfa4f01c9ad7c7ec9bb77b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71a91a95db66190f126db21adaba2c8a92e0e7254cea826f72822f7a29f3c40a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-03T13:08:24Z",
    "title_canon_sha256": "92b4f8997b157e4f0f1154d9432b7a7712dbe14ea11a8ff83b95c5f59715ce03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0870",
    "kind": "arxiv",
    "version": 1
  }
}