Pith Number

pith:ATBVLGRC

pith:2025:ATBVLGRC3DHRGDFHPBEH5OFSNR

not attested not anchored not stored refs pending

Oriented bond-site percolation in random environment and contact processes with periodic recovery

Anh Duc Vu, Benedikt Jahnel, Lukas L\"uchtrath

arxiv:2507.00329 v1 · 2025-06-30 · 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{ATBVLGRC3DHRGDFHPBEH5OFSNR}

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	2026-07-05T11:30:06.324409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04c3559a22d8cf130ca778487eb8b26c4a0eb54fcef2bf37783baef6a09cbb0a

Aliases

arxiv: 2507.00329 · arxiv_version: 2507.00329v1 · doi: 10.48550/arxiv.2507.00329 · pith_short_12: ATBVLGRC3DHR · pith_short_16: ATBVLGRC3DHRGDFH · pith_short_8: ATBVLGRC

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/ATBVLGRC3DHRGDFHPBEH5OFSNR \
  | 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: 04c3559a22d8cf130ca778487eb8b26c4a0eb54fcef2bf37783baef6a09cbb0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3461f6e78da40cc2e277c59359e1787621161f069e6e8f40e4dd525e89f9604d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-06-30T23:59:03Z",
    "title_canon_sha256": "dca10c087d6ea12498b369294446eecfb5986fbbaff195907b8f03dff7f0c086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.00329",
    "kind": "arxiv",
    "version": 1
  }
}