Pith Number

pith:PBTVBH2G

pith:2015:PBTVBH2GRMP34OEV2I55N3ZYOG

not attested not anchored not stored refs pending

Vanishing of some Galois cohomology groups for elliptic curves

Christian Wuthrich, Tyler Lawson

arxiv:1505.02940 v2 · 2015-05-12 · 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{PBTVBH2GRMP34OEV2I55N3ZYOG}

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	2026-05-18T01:32:18.544336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7867509f468b1fbe3895d23bd6ef3871964492503a15db838854e3e840955605

Aliases

arxiv: 1505.02940 · arxiv_version: 1505.02940v2 · doi: 10.48550/arxiv.1505.02940 · pith_short_12: PBTVBH2GRMP3 · pith_short_16: PBTVBH2GRMP34OEV · pith_short_8: PBTVBH2G

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/PBTVBH2GRMP34OEV2I55N3ZYOG \
  | 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: 7867509f468b1fbe3895d23bd6ef3871964492503a15db838854e3e840955605

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f833f2941bcc23bcaee7ace38a93f427619470b1af7467f4958984a20b722a29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-05-12T09:57:18Z",
    "title_canon_sha256": "3ce696f4abc391df62aaf02c9cd7af95041b462aab682ff9e81c1403501bd1fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02940",
    "kind": "arxiv",
    "version": 2
  }
}