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Pith Number

pith:IDCCKTQN

pith:2007:IDCCKTQN3IUKH3J45YVMGJGEAV
not attested not anchored not stored refs pending

Analytical approach to directed sandpile models on the Apollonian network

Andr\'e P. Vieira, Hans J. Herrmann, Jos\'e S. Andrade Jr., Roberto F. S. Andrade

arxiv:cond-mat/0701723 v2 · 2007-01-29 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IDCCKTQN3IUKH3J45YVMGJGEAV}

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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 2026-05-18T04:08:54.733363Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

40c4254e0dda28a3ed3cee2ac324c4054199bd9ab668f8c35dd72321b99e1a16

Aliases

arxiv: cond-mat/0701723 · arxiv_version: cond-mat/0701723v2 · doi: 10.48550/arxiv.cond-mat/0701723 · pith_short_12: IDCCKTQN3IUK · pith_short_16: IDCCKTQN3IUKH3J4 · pith_short_8: IDCCKTQN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IDCCKTQN3IUKH3J45YVMGJGEAV \
  | 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: 40c4254e0dda28a3ed3cee2ac324c4054199bd9ab668f8c35dd72321b99e1a16
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "50466fc0a86761d590cde498f6e5128dcd6977f12b85311013faa5c9c0646d4e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2007-01-29T19:04:59Z",
    "title_canon_sha256": "cbe293d70166f28be1fdc0367760341d3fcdc25a70e26796361c37ef926e07eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0701723",
    "kind": "arxiv",
    "version": 2
  }
}