Pith Number

pith:LN6YVKEX

pith:2025:LN6YVKEXSD6DWMZ5ELBF3LMAP2

not attested not anchored not stored refs pending

Random walks in a field of soft traps and criticality for the dissipative Abelian Sandpile Model

Berend van Tol, Ellen Saada, Frank Redig

arxiv:2507.00562 v2 · 2025-07-01 · math-ph · math.MP · 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{LN6YVKEXSD6DWMZ5ELBF3LMAP2}

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	2026-07-05T11:33:25.682547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b7d8aa89790fc3b333d22c25dad807e836fd63d63180ee3ad6a87712328c61d

Aliases

arxiv: 2507.00562 · arxiv_version: 2507.00562v2 · doi: 10.48550/arxiv.2507.00562 · pith_short_12: LN6YVKEXSD6D · pith_short_16: LN6YVKEXSD6DWMZ5 · pith_short_8: LN6YVKEX

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/LN6YVKEXSD6DWMZ5ELBF3LMAP2 \
  | 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: 5b7d8aa89790fc3b333d22c25dad807e836fd63d63180ee3ad6a87712328c61d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b48ff9bf475360dcd3ea410cbbd20008ad577a41c50e6e81c3bc4f0b21d644a",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-07-01T08:30:23Z",
    "title_canon_sha256": "c07ef6c2ac303ad9f737fd5ae8d9273c46fef73f7fdaaf173933db27f659d461"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.00562",
    "kind": "arxiv",
    "version": 2
  }
}