Pith Number

pith:DKPE6AY3

pith:2016:DKPE6AY34VOGUYO2F7VMCDEK5H

not attested not anchored not stored refs pending

Markov numbers and Lagrangian cell complexes in the complex projective plane

Ivan Smith, Jonathan David Evans

arxiv:1606.08656 v3 · 2016-06-28 · math.SG · math.AG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DKPE6AY34VOGUYO2F7VMCDEK5H}

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	2026-05-18T00:20:59.412058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a9e4f031be55c6a61da2feac10c8ae9ec591ae5cf4a028269e26ca657c9cc46

Aliases

arxiv: 1606.08656 · arxiv_version: 1606.08656v3 · doi: 10.48550/arxiv.1606.08656 · pith_short_12: DKPE6AY34VOG · pith_short_16: DKPE6AY34VOGUYO2 · pith_short_8: DKPE6AY3

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/DKPE6AY34VOGUYO2F7VMCDEK5H \
  | 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: 1a9e4f031be55c6a61da2feac10c8ae9ec591ae5cf4a028269e26ca657c9cc46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "018652b2d89c4bf7fb00d8398f75272c66c7ccd5550b58e46fb3c3c36f73f63b",
    "cross_cats_sorted": [
      "math.AG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-06-28T11:29:51Z",
    "title_canon_sha256": "0aed13a2c0a8396efad14afb540ba5622cafcc90d9f46dde744a5de2a3a43e19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08656",
    "kind": "arxiv",
    "version": 3
  }
}