Pith Number

pith:YGEHHWYX

pith:2012:YGEHHWYXZKTNKZ3ERJM7WOM2UF

not attested not anchored not stored refs pending

Comparison Isomorphisms for Smooth Formal Schemes

Adrian Iovita, Fabrizio Andreatta

arxiv:1212.3813 v1 · 2012-12-16 · math.AG · 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{YGEHHWYXZKTNKZ3ERJM7WOM2UF}

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	2026-05-18T03:38:22.331617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c18873db17caa6d567648a59fb399aa163359fef6e3c2fa07c6fa9aeb0c0a182

Aliases

arxiv: 1212.3813 · arxiv_version: 1212.3813v1 · doi: 10.48550/arxiv.1212.3813 · pith_short_12: YGEHHWYXZKTN · pith_short_16: YGEHHWYXZKTNKZ3E · pith_short_8: YGEHHWYX

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/YGEHHWYXZKTNKZ3ERJM7WOM2UF \
  | 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: c18873db17caa6d567648a59fb399aa163359fef6e3c2fa07c6fa9aeb0c0a182

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edd6effe149e6b51f4f31322939a7757c1153dbcbf33ff373ae82896d3a01f70",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-16T18:28:24Z",
    "title_canon_sha256": "87d93602fe3021e2a990aa3a4f745a508a87bf885c37dd6fc0cf97aaa3cd52ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3813",
    "kind": "arxiv",
    "version": 1
  }
}