Pith Number

pith:S6LTDNAE

pith:2015:S6LTDNAEKIXRSI2CRU5VDUAO7U

not attested not anchored not stored refs pending

Diophantine stability

Barry Mazur, Karl Rubin, Michael Larsen

arxiv:1503.04642 v3 · 2015-03-16 · 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{S6LTDNAEKIXRSI2CRU5VDUAO7U}

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	2026-05-18T00:41:08.470727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

979731b404522f1923428d3b51d00efd397daa135474d588f053a4dc1deb1b32

Aliases

arxiv: 1503.04642 · arxiv_version: 1503.04642v3 · doi: 10.48550/arxiv.1503.04642 · pith_short_12: S6LTDNAEKIXR · pith_short_16: S6LTDNAEKIXRSI2C · pith_short_8: S6LTDNAE

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/S6LTDNAEKIXRSI2CRU5VDUAO7U \
  | 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: 979731b404522f1923428d3b51d00efd397daa135474d588f053a4dc1deb1b32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75a9df3b9f936ec2015fed338554882f249f210936221cf239c29ea71822c006",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-16T13:42:03Z",
    "title_canon_sha256": "bdd21c400fdc91b1093dae853ee035835c2cdbf4e199a27065c0ca00bd7b74b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04642",
    "kind": "arxiv",
    "version": 3
  }
}