Pith Number

pith:6XUZVR5F

pith:2013:6XUZVR5FDSZEUTX4RJWLPZA5UT

not attested not anchored not stored refs pending

Weak approximation for tori over $p$-adic function fields

Claus Scheiderer, David Harari, Tam\'as Szamuely

arxiv:1307.4783 v2 · 2013-07-17 · 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{6XUZVR5FDSZEUTX4RJWLPZA5UT}

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	2026-05-18T03:01:10.414968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5e99ac7a51cb24a4efc8a6cb7e41da4cb026743eca17cecc358b9c8d63abca8

Aliases

arxiv: 1307.4783 · arxiv_version: 1307.4783v2 · doi: 10.48550/arxiv.1307.4783 · pith_short_12: 6XUZVR5FDSZE · pith_short_16: 6XUZVR5FDSZEUTX4 · pith_short_8: 6XUZVR5F

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/6XUZVR5FDSZEUTX4RJWLPZA5UT \
  | 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: f5e99ac7a51cb24a4efc8a6cb7e41da4cb026743eca17cecc358b9c8d63abca8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dee2464c31f89d0ebd33ebbe148d6389c8895eb8f82d0c79d4a9f3a018a97320",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-17T20:39:30Z",
    "title_canon_sha256": "6d673442719ed9ce4be040b40ddd1e6ef922464f7c8d5ed295307719b2e7c947"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4783",
    "kind": "arxiv",
    "version": 2
  }
}