Pith Number

pith:HDCVTQRY

pith:2014:HDCVTQRYFF5RTXZ6654T5M3OJA

not attested not anchored not stored refs pending

Spatially independent martingales, intersections, and applications

Pablo Shmerkin, Ville Suomala

arxiv:1409.6707 v4 · 2014-09-23 · math.CA · math.DS · math.MG · 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{HDCVTQRYFF5RTXZ6654T5M3OJA}

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	2026-05-18T02:26:10.476398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38c559c238297b19df3ef7793eb36e48144c3213aea46124c16f8c30a132035d

Aliases

arxiv: 1409.6707 · arxiv_version: 1409.6707v4 · doi: 10.48550/arxiv.1409.6707 · pith_short_12: HDCVTQRYFF5R · pith_short_16: HDCVTQRYFF5RTXZ6 · pith_short_8: HDCVTQRY

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/HDCVTQRYFF5RTXZ6654T5M3OJA \
  | 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: 38c559c238297b19df3ef7793eb36e48144c3213aea46124c16f8c30a132035d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "befc9010402277ffcd07da4c423926138cc274ab63489b1b8a904457f064db85",
    "cross_cats_sorted": [
      "math.DS",
      "math.MG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-09-23T19:24:40Z",
    "title_canon_sha256": "fbf94a22390151104298deea058e60e224ae663a78dfa1838b20bedcc710c91f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6707",
    "kind": "arxiv",
    "version": 4
  }
}