Pith Number

pith:QIQ4UYP2

pith:2012:QIQ4UYP2F5JJGHRVZLZ63BH6L2

not attested not anchored not stored refs pending

Models of torsors over curves

Marco Antei

arxiv:1210.1522 v4 · 2012-10-04 · 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{QIQ4UYP2F5JJGHRVZLZ63BH6L2}

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	2026-05-18T01:11:52.068048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8221ca61fa2f52931e35caf3ed84fe5eaf98bd959a3bee467a88f7d15a6b56f9

Aliases

arxiv: 1210.1522 · arxiv_version: 1210.1522v4 · doi: 10.48550/arxiv.1210.1522 · pith_short_12: QIQ4UYP2F5JJ · pith_short_16: QIQ4UYP2F5JJGHRV · pith_short_8: QIQ4UYP2

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/QIQ4UYP2F5JJGHRVZLZ63BH6L2 \
  | 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: 8221ca61fa2f52931e35caf3ed84fe5eaf98bd959a3bee467a88f7d15a6b56f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00a0290f154e1bcc48fe6a579e60fdf0817560b45e1a61c6b1879d9dfa169c24",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-04T17:21:45Z",
    "title_canon_sha256": "e0608e639bbb65b2f0ef2ae59ec5d58e08524cdea43aa49d1cf706d7aba517d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1522",
    "kind": "arxiv",
    "version": 4
  }
}