Pith Number

pith:3R5HKQ6V

pith:2017:3R5HKQ6VCL6RT3QKUFP5ZATXS3

not attested not anchored not stored refs pending

Invasion Percolation on Galton-Watson Trees

Josh Rosenberg, Marcus Michelen, Robin Pemantle

arxiv:1711.10672 v2 · 2017-11-29 · 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{3R5HKQ6VCL6RT3QKUFP5ZATXS3}

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	2026-05-18T00:24:28.667885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc7a7543d512fd19ee0aa15fdc827796e2e05b66705b5d4abea3fb8b23f387b7

Aliases

arxiv: 1711.10672 · arxiv_version: 1711.10672v2 · doi: 10.48550/arxiv.1711.10672 · pith_short_12: 3R5HKQ6VCL6R · pith_short_16: 3R5HKQ6VCL6RT3QK · pith_short_8: 3R5HKQ6V

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/3R5HKQ6VCL6RT3QKUFP5ZATXS3 \
  | 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: dc7a7543d512fd19ee0aa15fdc827796e2e05b66705b5d4abea3fb8b23f387b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f82d7b462f78f21b3192ba319e7ff75c441fd5ed986615b3131061fcb33d3b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-11-29T04:00:07Z",
    "title_canon_sha256": "fceceed06d46d7f525cc24142b18d171e533e6e670b01399bca1739a4b82ee11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10672",
    "kind": "arxiv",
    "version": 2
  }
}