Pith Number

pith:32DU7G4M

pith:2014:32DU7G4MTRBKVOZIVTQ6PUXWF2

not attested not anchored not stored refs pending

A cohomological Hasse principle over two-dimensional local rings

Yong Hu

arxiv:1401.7782 v4 · 2014-01-30 · math.NT · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32DU7G4MTRBKVOZIVTQ6PUXWF2}

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	2026-05-18T00:31:56.347691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de874f9b8c9c42aabb28ace1e7d2f62e8e7d248d6b737a9f21ae92fac3e3cfec

Aliases

arxiv: 1401.7782 · arxiv_version: 1401.7782v4 · doi: 10.48550/arxiv.1401.7782 · pith_short_12: 32DU7G4MTRBK · pith_short_16: 32DU7G4MTRBKVOZI · pith_short_8: 32DU7G4M

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/32DU7G4MTRBKVOZIVTQ6PUXWF2 \
  | 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: de874f9b8c9c42aabb28ace1e7d2f62e8e7d248d6b737a9f21ae92fac3e3cfec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85af9d6bc9ddc6c6707e430c5b8b8238ada2f627fbb393571e01a6d94a1090b5",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-01-30T10:12:00Z",
    "title_canon_sha256": "a7d666497b58524a1d49757ee6252085cf46795c7eb0176df63f67866d5c27b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7782",
    "kind": "arxiv",
    "version": 4
  }
}