Pith Number

pith:22DWEK6F

pith:2013:22DWEK6FCQONPRFVM5EOCMXKCB

not attested not anchored not stored refs pending

Upward and downward statistical continuities

Huseyin Cakalli

arxiv:1307.2418 v1 · 2013-07-09 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22DWEK6FCQONPRFVM5EOCMXKCB}

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	2026-05-18T03:18:52.619863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d687622bc5141cd7c4b56748e132ea105d0f2863e20e5af895af67f41a62c36e

Aliases

arxiv: 1307.2418 · arxiv_version: 1307.2418v1 · doi: 10.48550/arxiv.1307.2418 · pith_short_12: 22DWEK6FCQON · pith_short_16: 22DWEK6FCQONPRFV · pith_short_8: 22DWEK6F

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/22DWEK6FCQONPRFVM5EOCMXKCB \
  | 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: d687622bc5141cd7c4b56748e132ea105d0f2863e20e5af895af67f41a62c36e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08fbd37a546e50dbad4d00294af106b2ee429400ec098040a91c237a06723299",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2013-07-09T12:27:31Z",
    "title_canon_sha256": "32ea319f78efd07ef8abaec6602eb1df3c9c85d2f20f607cc4128f94547151bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2418",
    "kind": "arxiv",
    "version": 1
  }
}