Pith Number

pith:ZKSI53OV

pith:2015:ZKSI53OVYZ2BTVHCUBCGXBGE7P

not attested not anchored not stored refs pending

A cut-invariant law of large numbers for random heaps

Samy Abbes

arxiv:1502.06277 v5 · 2015-02-22 · math.CO · cs.DM · 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{ZKSI53OVYZ2BTVHCUBCGXBGE7P}

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	2026-05-18T02:03:59.759061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caa48eedd5c67419d4e2a0446b84c4fbf2c5e09e9c0b02eff0df7d56a6195417

Aliases

arxiv: 1502.06277 · arxiv_version: 1502.06277v5 · doi: 10.48550/arxiv.1502.06277 · pith_short_12: ZKSI53OVYZ2B · pith_short_16: ZKSI53OVYZ2BTVHC · pith_short_8: ZKSI53OV

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/ZKSI53OVYZ2BTVHCUBCGXBGE7P \
  | 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: caa48eedd5c67419d4e2a0446b84c4fbf2c5e09e9c0b02eff0df7d56a6195417

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fad0999ad5f3198382c61ceb0a8a1c7ab0739aff9bede71d95ba8c13893003e6",
    "cross_cats_sorted": [
      "cs.DM",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-22T22:17:24Z",
    "title_canon_sha256": "2ad99ba221b93bd340dfc787b482d16527f91d98b015aff0bd4d3648f7ae0c65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06277",
    "kind": "arxiv",
    "version": 5
  }
}