Pith Number

pith:3M2BU3S4

pith:2018:3M2BU3S4MOX4QYGZVDQGW53G53

not attested not anchored not stored refs pending

A new proof of a vanishing result due to Berthelot, Esnault, and R\"ulling

Veronika Ertl

arxiv:1805.06269 v3 · 2018-05-16 · 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{3M2BU3S4MOX4QYGZVDQGW53G53}

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	2026-05-17T23:47:03.272984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db341a6e5c63afc860d9a8e06b7766eef4b5c144b94450ab1c040cc6f88542ba

Aliases

arxiv: 1805.06269 · arxiv_version: 1805.06269v3 · doi: 10.48550/arxiv.1805.06269 · pith_short_12: 3M2BU3S4MOX4 · pith_short_16: 3M2BU3S4MOX4QYGZ · pith_short_8: 3M2BU3S4

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/3M2BU3S4MOX4QYGZVDQGW53G53 \
  | 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: db341a6e5c63afc860d9a8e06b7766eef4b5c144b94450ab1c040cc6f88542ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "533fd1939fc03841fb8df1226474e2a8a21d46bc11496c832961edf54a5bebe4",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-16T12:25:46Z",
    "title_canon_sha256": "55f0591adc9b2497c886670c51b07a3615fbd16a08b38f9d1c3d43b3154658c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06269",
    "kind": "arxiv",
    "version": 3
  }
}