Pith Number

pith:DWVYJBPY

pith:2013:DWVYJBPY3TXPD4H4LCBRDTDHY6

not attested not anchored not stored refs pending

A Markov model for Selmer ranks in families of twists

Barry Mazur, Karl Rubin, Zev Klagsbrun

arxiv:1303.6507 v1 · 2013-03-26 · 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{DWVYJBPY3TXPD4H4LCBRDTDHY6}

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	2026-05-17T23:53:17.758626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dab8485f8dceef1f0fc588311cc67c79f7cdb423728d40dccbf78d71738f8bb

Aliases

arxiv: 1303.6507 · arxiv_version: 1303.6507v1 · doi: 10.48550/arxiv.1303.6507 · pith_short_12: DWVYJBPY3TXP · pith_short_16: DWVYJBPY3TXPD4H4 · pith_short_8: DWVYJBPY

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/DWVYJBPY3TXPD4H4LCBRDTDHY6 \
  | 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: 1dab8485f8dceef1f0fc588311cc67c79f7cdb423728d40dccbf78d71738f8bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa0378f47e467501ceca897e9bdc87c35369c765e937e1cd3a71071efed3165a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-03-26T14:26:45Z",
    "title_canon_sha256": "b5e0dc810d2e02fe2e76265e0ff1eac1c0bd3406e9fa4043849a49942d152558"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6507",
    "kind": "arxiv",
    "version": 1
  }
}