Pith Number

pith:OGNJ7MLH

pith:2016:OGNJ7MLHJEF36CJRYBWIG6V5AB

not attested not anchored not stored refs pending

Varieties that are not stably rational, zero-cycles and unramified cohomology

Alena Pirutka

arxiv:1603.09261 v2 · 2016-03-30 · 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{OGNJ7MLHJEF36CJRYBWIG6V5AB}

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	2026-05-18T01:07:53.796262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

719a9fb167490bbf0931c06c837abd00495d10123ca1586cecf5d71ed0a70b10

Aliases

arxiv: 1603.09261 · arxiv_version: 1603.09261v2 · doi: 10.48550/arxiv.1603.09261 · pith_short_12: OGNJ7MLHJEF3 · pith_short_16: OGNJ7MLHJEF36CJR · pith_short_8: OGNJ7MLH

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/OGNJ7MLHJEF36CJRYBWIG6V5AB \
  | 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: 719a9fb167490bbf0931c06c837abd00495d10123ca1586cecf5d71ed0a70b10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2489ecf267cc62b554b92557ffdfbc300629d22386bce83b8a871d77432b85f2",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-03-30T16:18:44Z",
    "title_canon_sha256": "6ebe376f1de048b292510572b55e6eb3fd6e0a1f22d69e91b2259ae279ccef1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09261",
    "kind": "arxiv",
    "version": 2
  }
}