Pith Number

pith:PXQFLVWU

pith:2013:PXQFLVWU5FC6WWNG3ASMLVCZO2

not attested not anchored not stored refs pending

O-minimality on twisted universal torsors and Manin's conjecture over number fields

Christopher Frei, Marta Pieropan

arxiv:1312.6603 v3 · 2013-12-23 · math.NT · 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{PXQFLVWU5FC6WWNG3ASMLVCZO2}

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	2026-05-18T01:36:38.994734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7de055d6d4e945eb59a6d824c5d4597688053869644bba434c17baabf192c8d4

Aliases

arxiv: 1312.6603 · arxiv_version: 1312.6603v3 · doi: 10.48550/arxiv.1312.6603 · pith_short_12: PXQFLVWU5FC6 · pith_short_16: PXQFLVWU5FC6WWNG · pith_short_8: PXQFLVWU

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/PXQFLVWU5FC6WWNG3ASMLVCZO2 \
  | 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: 7de055d6d4e945eb59a6d824c5d4597688053869644bba434c17baabf192c8d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c84226db12315124626b419b6afb2e247ea57d327623b9aa88bca85deefe04cc",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-23T17:05:16Z",
    "title_canon_sha256": "44f4177938c2f6032e90c509e5a79743d403087f67fddf2254407c848a8f2ad3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6603",
    "kind": "arxiv",
    "version": 3
  }
}