Pith Number

pith:BIYWKMGF

pith:2009:BIYWKMGFUMBJAQAZ3PHSHIWB7U

not attested not anchored not stored refs pending

Asymptotics of the visibility function in the Boolean model

Julien Michel (UMPA-ENSL), Pierre Calka (MAP5), Sylvain Porret-Blanc (UMPA-ENSL)

arxiv:0905.4874 v2 · 2009-05-29 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BIYWKMGFUMBJAQAZ3PHSHIWB7U}

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	2026-05-18T04:32:01.859343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a316530c5a302904019dbcf23a2c1fd2285a47f04b129a82bb39b38e4b6b8a8

Aliases

arxiv: 0905.4874 · arxiv_version: 0905.4874v2 · doi: 10.48550/arxiv.0905.4874 · pith_short_12: BIYWKMGFUMBJ · pith_short_16: BIYWKMGFUMBJAQAZ · pith_short_8: BIYWKMGF

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/BIYWKMGFUMBJAQAZ3PHSHIWB7U \
  | 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: 0a316530c5a302904019dbcf23a2c1fd2285a47f04b129a82bb39b38e4b6b8a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9b00d2c9f8c870d0a2cbcf7b17dca2b1f5aa731b2a2f3bc7bfc81ace35aad3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-05-29T14:20:33Z",
    "title_canon_sha256": "4ab0b6e925ce05364f6b4d55c4acd70306d7cf8f0c11ff46bd0bc5b32a1bfc00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.4874",
    "kind": "arxiv",
    "version": 2
  }
}