Pith Number

pith:WF6GXXUR

pith:2017:WF6GXXUROLGVS5LSCCEAJ5I4L6

not attested not anchored not stored refs pending

Lower bounds for the rank of families of abelian varieties under base change

Cec\'ilia Salgado, Marc Hindry

arxiv:1712.05858 v1 · 2017-12-15 · 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{WF6GXXUROLGVS5LSCCEAJ5I4L6}

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	2026-05-18T00:27:51.708595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b17c6bde9172cd597572108804f51c5fb7154a6a3b3e23627c74dcd0d8b7de62

Aliases

arxiv: 1712.05858 · arxiv_version: 1712.05858v1 · doi: 10.48550/arxiv.1712.05858 · pith_short_12: WF6GXXUROLGV · pith_short_16: WF6GXXUROLGVS5LS · pith_short_8: WF6GXXUR

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/WF6GXXUROLGVS5LSCCEAJ5I4L6 \
  | 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: b17c6bde9172cd597572108804f51c5fb7154a6a3b3e23627c74dcd0d8b7de62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5b171cb65b44271ed16e0ee4307397ff05c106a985d26864e289b608b8dbdec",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-15T22:11:28Z",
    "title_canon_sha256": "b851a5ffbbb2c8d2d92857c98839560a517e7d3595fb477c9ed5d60f7cb2b237"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05858",
    "kind": "arxiv",
    "version": 1
  }
}