Pith Number

pith:5MRYI3OY

pith:2025:5MRYI3OYJHWCXX2AWW4PERN5XX

not attested not anchored not stored refs pending

Counting Martingales for Measure and Dimension in Complexity Classes

Adewale Sekoni, Hadi Shafei, John M. Hitchcock

arxiv:2508.07619 v1 · 2025-08-11 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5MRYI3OYJHWCXX2AWW4PERN5XX}

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	2026-07-05T11:51:49.292564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb23846dd849ec2bdf40b5b8f245bdbddb70081124a4dd5f5e5badd70c29823e

Aliases

arxiv: 2508.07619 · arxiv_version: 2508.07619v1 · doi: 10.48550/arxiv.2508.07619 · pith_short_12: 5MRYI3OYJHWC · pith_short_16: 5MRYI3OYJHWCXX2A · pith_short_8: 5MRYI3OY

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/5MRYI3OYJHWCXX2AWW4PERN5XX \
  | 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: eb23846dd849ec2bdf40b5b8f245bdbddb70081124a4dd5f5e5badd70c29823e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "568a31afb27cb2f10080f6cabd666197a5625c2d59e26be34f129ffd9f9444d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2025-08-11T05:00:36Z",
    "title_canon_sha256": "1d8c30cfa02798fe8e664aa9094dae2973d24bb149c06ca543d24da692e98343"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.07619",
    "kind": "arxiv",
    "version": 1
  }
}