Pith Number

pith:XB4AVJCK

pith:2013:XB4AVJCK2U22RI7XJW7XGN6PQL

not attested not anchored not stored refs pending

The number of accessible paths in the hypercube

\'Eric Brunet, Julien Berestycki, Zhan Shi

arxiv:1304.0246 v3 · 2013-03-31 · math.PR · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XB4AVJCK2U22RI7XJW7XGN6PQL}

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.

Cited by

1 paper in Pith

Epistatic strength, modularity, and locus heterogeneity shape the number of local optima in fitness landscapes

Receipt and verification

First computed	2026-05-18T01:21:08.884863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8780aa44ad535a8a3f74dbf7337cf82d2f84370e188fef13ca57f860f8ab76e

Aliases

arxiv: 1304.0246 · arxiv_version: 1304.0246v3 · doi: 10.48550/arxiv.1304.0246 · pith_short_12: XB4AVJCK2U22 · pith_short_16: XB4AVJCK2U22RI7X · pith_short_8: XB4AVJCK

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/XB4AVJCK2U22RI7XJW7XGN6PQL \
  | 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: b8780aa44ad535a8a3f74dbf7337cf82d2f84370e188fef13ca57f860f8ab76e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fa4f6a66d38ed27a73ed401eeb9dcfde985068c93e07c4bfe0db7cd45c7ef26",
    "cross_cats_sorted": [
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-31T19:27:00Z",
    "title_canon_sha256": "03139f74116db0d10cad5b908091b230aca7f80b7142460268c357566a72b276"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0246",
    "kind": "arxiv",
    "version": 3
  }
}