Pith Number

pith:V7ONPC3Z

pith:2026:V7ONPC3Z37VXBZMW75TTDAB6HY

not attested not anchored not stored refs pending

Symmetry Emergence in Self-Organized Criticality

Ernesto Lupercio, Mikhail Shkolnikov

arxiv:2608.13500 v1 · 2026-08-13 · math-ph · cond-mat.stat-mech · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V7ONPC3Z37VXBZMW75TTDAB6HY}

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	2026-08-14T01:24:53.656113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afdcd78b79dfeb70e596ff6731803e3e24bad0a15f138fd649d8b60ed9c03d5d

Aliases

arxiv: 2608.13500 · arxiv_version: 2608.13500v1 · doi: 10.48550/arxiv.2608.13500 · pith_short_12: V7ONPC3Z37VX · pith_short_16: V7ONPC3Z37VXBZMW · pith_short_8: V7ONPC3Z

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/V7ONPC3Z37VXBZMW75TTDAB6HY \
  | 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: afdcd78b79dfeb70e596ff6731803e3e24bad0a15f138fd649d8b60ed9c03d5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d971380ab55d443506ea327dd33b3cc92b222e2b65e4b8aff2d54d9e8ebb82b",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.DS",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-08-13T17:29:15Z",
    "title_canon_sha256": "cb204be606fe1ed2c0ea4a7fa62a7eb5de08ab0fdf2c20c86844951d9bd4f41a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13500",
    "kind": "arxiv",
    "version": 1
  }
}