Pith Number

pith:ZEESV7BN

pith:2014:ZEESV7BNR4WXK7VOBZUIPQRIYX

not attested not anchored not stored refs pending

Atomic blocks for noncommutative martingales

Javier Parcet, Jose M. Conde-Alonso

arxiv:1407.5451 v2 · 2014-07-21 · math.CA · math.FA · 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{ZEESV7BNR4WXK7VOBZUIPQRIYX}

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	2026-05-18T02:42:07.596112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9092afc2d8f2d757eae0e6887c228c5c246ce3f7f8426a2905a90b5e7deed62

Aliases

arxiv: 1407.5451 · arxiv_version: 1407.5451v2 · doi: 10.48550/arxiv.1407.5451 · pith_short_12: ZEESV7BNR4WX · pith_short_16: ZEESV7BNR4WXK7VO · pith_short_8: ZEESV7BN

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/ZEESV7BNR4WXK7VOBZUIPQRIYX \
  | 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: c9092afc2d8f2d757eae0e6887c228c5c246ce3f7f8426a2905a90b5e7deed62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dab4077212934db4c9c59d988d5e9062c6e9ab629631bfe428b71e99eb3774d",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-07-21T10:33:14Z",
    "title_canon_sha256": "9d33419b8d9b6f72b979df710748876f1c1eea98328a5b748853c2563577f8a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5451",
    "kind": "arxiv",
    "version": 2
  }
}