Pith Number

pith:W4M7MJ5K

pith:2018:W4M7MJ5KPL4ARNVR6OMDBCA6VR

not attested not anchored not stored refs pending

On Kahn's basis conjecture

Alexey Pokrovskiy, Benny Sudakov, Matija Buci\'c, Matthew Kwan

arxiv:1810.07464 v1 · 2018-10-17 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4M7MJ5KPL4ARNVR6OMDBCA6VR}

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	2026-05-18T00:02:56.317085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b719f627aa7af808b6b1f39830881eac6c3fd153716f2d15dfebcba44356d0fa

Aliases

arxiv: 1810.07464 · arxiv_version: 1810.07464v1 · doi: 10.48550/arxiv.1810.07464 · pith_short_12: W4M7MJ5KPL4A · pith_short_16: W4M7MJ5KPL4ARNVR · pith_short_8: W4M7MJ5K

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/W4M7MJ5KPL4ARNVR6OMDBCA6VR \
  | 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: b719f627aa7af808b6b1f39830881eac6c3fd153716f2d15dfebcba44356d0fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "432a9c75718ae83eb847ac9fe93d9464f349d2e20b880e828ff35b4a6db54926",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-17T10:26:59Z",
    "title_canon_sha256": "0b438a6a6c0a61bd5fd25bb42e5e54821253481f90c18f723498191f188785e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07464",
    "kind": "arxiv",
    "version": 1
  }
}