Pith Number

pith:VMD2QWSU

pith:2012:VMD2QWSUM3LJCISJRRAJW7QFO6

not attested not anchored not stored refs pending

The refined Coates-Sinnott conjecture for characteristic p global fields

Cristian Popescu, Joel Dodge

arxiv:1204.3535 v1 · 2012-04-16 · 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{VMD2QWSUM3LJCISJRRAJW7QFO6}

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	2026-05-18T03:57:51.266080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab07a85a5466d69122498c409b7e0577b5cd84530ab3c1ce575a08d81408bfb3

Aliases

arxiv: 1204.3535 · arxiv_version: 1204.3535v1 · doi: 10.48550/arxiv.1204.3535 · pith_short_12: VMD2QWSUM3LJ · pith_short_16: VMD2QWSUM3LJCISJ · pith_short_8: VMD2QWSU

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/VMD2QWSUM3LJCISJRRAJW7QFO6 \
  | 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: ab07a85a5466d69122498c409b7e0577b5cd84530ab3c1ce575a08d81408bfb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "175eb4a19dccfd1e6f0ab8685816054b575e965afdacd9ad0e033c42647802d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-16T15:46:45Z",
    "title_canon_sha256": "29a2b05d8d5fc7ca3683e4967c01c4163855589bf2659db4aee7764141bb0f04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3535",
    "kind": "arxiv",
    "version": 1
  }
}