Pith Number

pith:2B2WRELD

pith:2016:2B2WRELDL25WWNF3F5TMETLDPV

not attested not anchored not stored refs pending

A heuristic for boundedness of ranks of elliptic curves

Bjorn Poonen, Jennifer Park, John Voight, Melanie Matchett Wood

arxiv:1602.01431 v3 · 2016-02-03 · 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{2B2WRELDL25WWNF3F5TMETLDPV}

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	2026-05-18T00:11:11.925566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0756891635ebb6b34bb2f66c24d637d64b8c693ccb47a8a7a753ec9a67ecc26

Aliases

arxiv: 1602.01431 · arxiv_version: 1602.01431v3 · doi: 10.48550/arxiv.1602.01431 · pith_short_12: 2B2WRELDL25W · pith_short_16: 2B2WRELDL25WWNF3 · pith_short_8: 2B2WRELD

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/2B2WRELDL25WWNF3F5TMETLDPV \
  | 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: d0756891635ebb6b34bb2f66c24d637d64b8c693ccb47a8a7a753ec9a67ecc26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd4c62aa43cfe33861731ae9b263cd9246024b70167d1de2e6f255d686b66a8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-03T19:54:19Z",
    "title_canon_sha256": "eb4bfc5ff97667b15c717f7115786666a83b192c99cf95830c5ec2a8dddcb767"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01431",
    "kind": "arxiv",
    "version": 3
  }
}