Pith Number

pith:MBX6WVIQ

pith:2015:MBX6WVIQFDSZZT4FV4NLX7JC34

not attested not anchored not stored refs pending

Diophantus Revisited: On rational surfaces and K3 surfaces in the Arithmetica

Ren\'e Pannekoek

arxiv:1509.06138 v1 · 2015-09-21 · math.NT · math.HO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MBX6WVIQFDSZZT4FV4NLX7JC34}

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	2026-05-18T01:32:35.723838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

606feb551028e59ccf85af1abbfd22df16a3ffc7044632738b0fdf7d7ae17269

Aliases

arxiv: 1509.06138 · arxiv_version: 1509.06138v1 · doi: 10.48550/arxiv.1509.06138 · pith_short_12: MBX6WVIQFDSZ · pith_short_16: MBX6WVIQFDSZZT4F · pith_short_8: MBX6WVIQ

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/MBX6WVIQFDSZZT4FV4NLX7JC34 \
  | 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: 606feb551028e59ccf85af1abbfd22df16a3ffc7044632738b0fdf7d7ae17269

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "312ec2aa975080b73cc9908c2f30e39729790ff905f769f3e7edba325615acd8",
    "cross_cats_sorted": [
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-21T08:21:20Z",
    "title_canon_sha256": "1436876542a6dde26c701c9f9bbe05a085b6569b78713fbfa57d0be1337f9c7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06138",
    "kind": "arxiv",
    "version": 1
  }
}