Pith Number

pith:ARUI26I7

pith:2015:ARUI26I7OVNORY22YJPZ35DBPQ

not attested not anchored not stored refs pending

Scaling limit for a long-range divisible sandpile

Milton Jara, Susana Fr\'ometa

arxiv:1507.03624 v2 · 2015-07-13 · math.AP · 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{ARUI26I7OVNORY22YJPZ35DBPQ}

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	2026-05-18T00:13:53.807718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04688d791f755ae8e35ac25f9df4617c163868e9613189daa1fec377cf76e7b2

Aliases

arxiv: 1507.03624 · arxiv_version: 1507.03624v2 · doi: 10.48550/arxiv.1507.03624 · pith_short_12: ARUI26I7OVNO · pith_short_16: ARUI26I7OVNORY22 · pith_short_8: ARUI26I7

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/ARUI26I7OVNORY22YJPZ35DBPQ \
  | 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: 04688d791f755ae8e35ac25f9df4617c163868e9613189daa1fec377cf76e7b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03e49b06f871d0d10aaebb8ed81600df2e49ab7f3e378267ea9ed1435e012429",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-13T21:32:56Z",
    "title_canon_sha256": "e0cb56265be4f1ba77806f68b802de453c6d08353c8f9d12c5744a12f1f0a4d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03624",
    "kind": "arxiv",
    "version": 2
  }
}