Pith Number

pith:VZYBYTRC

pith:2016:VZYBYTRC7BV4SJGH42RGUABYST

not attested not anchored not stored refs pending

Arm events in two-dimensional invasion percolation

Jack Hanson, Michael Damron, Philippe Sosoe

arxiv:1609.06626 v2 · 2016-09-21 · 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{VZYBYTRC7BV4SJGH42RGUABYST}

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	2026-05-18T00:37:57.587814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae701c4e22f86bc924c7e6a26a003894dcce84bb22ee8aae159a516b639fe495

Aliases

arxiv: 1609.06626 · arxiv_version: 1609.06626v2 · doi: 10.48550/arxiv.1609.06626 · pith_short_12: VZYBYTRC7BV4 · pith_short_16: VZYBYTRC7BV4SJGH · pith_short_8: VZYBYTRC

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/VZYBYTRC7BV4SJGH42RGUABYST \
  | 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: ae701c4e22f86bc924c7e6a26a003894dcce84bb22ee8aae159a516b639fe495

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de88153b9979a6d28a822f95dbd7b89ce840963e3fe2d0ab4420c8bc8622ea86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-21T16:40:41Z",
    "title_canon_sha256": "af934c822f3d4057bbf4a1ac98172871d5bc7e48a1a670448637d69c6abdc1be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06626",
    "kind": "arxiv",
    "version": 2
  }
}