Pith Number

pith:SXPFEQPD

pith:2009:SXPFEQPDPAGPIBG4TSDQHQ3SBY

not attested not anchored not stored refs pending

Invasion percolation on the Poisson-weighted infinite tree

Louigi Addario-Berry, Ross J. Kang, Simon Griffiths

arxiv:0912.0335 v2 · 2009-12-02 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SXPFEQPDPAGPIBG4TSDQHQ3SBY}

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	2026-05-18T03:44:04.853945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95de5241e3780cf404dc9c8703c3720e3d93c21a74863ae84f884c1ff4392cab

Aliases

arxiv: 0912.0335 · arxiv_version: 0912.0335v2 · doi: 10.48550/arxiv.0912.0335 · pith_short_12: SXPFEQPDPAGP · pith_short_16: SXPFEQPDPAGPIBG4 · pith_short_8: SXPFEQPD

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/SXPFEQPDPAGPIBG4TSDQHQ3SBY \
  | 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: 95de5241e3780cf404dc9c8703c3720e3d93c21a74863ae84f884c1ff4392cab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6b4d0e8762b416b27384fdc814f296ef35fc1c19160afbb955b6f064ce666ba",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-12-02T14:50:28Z",
    "title_canon_sha256": "bb1d8da741d80376bd0f3493982f9ecd582dbae9ce7e0011e805d929327fabb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0335",
    "kind": "arxiv",
    "version": 2
  }
}