Pith Number

pith:GQCQXKNL

pith:2011:GQCQXKNLCKVGX2UZMSJUCQBTEK

not attested not anchored not stored refs pending

Fixed point forms of the parallel symmetric sandpile model

E. Formenti, H. D. Phan, T. T. H. Tran, V. T. Pham

arxiv:1109.0825 v2 · 2011-09-05 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQCQXKNLCKVGX2UZMSJUCQBTEK}

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	2026-05-18T03:51:58.568767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34050ba9ab12aa6bea99649341403322ac57548a3c780afa085f7bb7e3a6c7ce

Aliases

arxiv: 1109.0825 · arxiv_version: 1109.0825v2 · doi: 10.48550/arxiv.1109.0825 · pith_short_12: GQCQXKNLCKVG · pith_short_16: GQCQXKNLCKVGX2UZ · pith_short_8: GQCQXKNL

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/GQCQXKNLCKVGX2UZMSJUCQBTEK \
  | 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: 34050ba9ab12aa6bea99649341403322ac57548a3c780afa085f7bb7e3a6c7ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f28c7c246f29b39914b927c9cac0cd37e52c46f9fe30c08b020771d2237ec75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-09-05T08:18:11Z",
    "title_canon_sha256": "8deabbc790e9d3e7c9d3c3e2cf9544d1d0450ee40136322ea96651ed6e42aacc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0825",
    "kind": "arxiv",
    "version": 2
  }
}