Pith Number

pith:QEJNRT3D

pith:2017:QEJNRT3DSMBUE3RTAI5VW6L25F

not attested not anchored not stored refs pending

Explicit root numbers of abelian varieties

Matthew Bisatt

arxiv:1711.09961 v3 · 2017-11-27 · 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{QEJNRT3DSMBUE3RTAI5VW6L25F}

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	2026-05-17T23:41:56.463376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8112d8cf639303426e33023b5b797ae961459551607e1f6d2e9149c7742b4d3a

Aliases

arxiv: 1711.09961 · arxiv_version: 1711.09961v3 · doi: 10.48550/arxiv.1711.09961 · pith_short_12: QEJNRT3DSMBU · pith_short_16: QEJNRT3DSMBUE3RT · pith_short_8: QEJNRT3D

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/QEJNRT3DSMBUE3RTAI5VW6L25F \
  | 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: 8112d8cf639303426e33023b5b797ae961459551607e1f6d2e9149c7742b4d3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b1fcd92dfe8ae41da9a88189e11a3db605133390650ced49ee670bfc47a6c7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-11-27T20:12:37Z",
    "title_canon_sha256": "2ef908c12e816230397fab5c7c58035ed6e2c773dbb270db72e14cc5de4f089c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09961",
    "kind": "arxiv",
    "version": 3
  }
}