Pith Number

pith:QQO5VCDE

pith:2012:QQO5VCDERVLKQDVX7M5C7VV5T7

not attested not anchored not stored refs pending

\'Etude spectrale minutieuse de processus moins ind\'ecis que les autres

Laurent Miclo (IMT), Pierre Monmarch\'e

arxiv:1209.3588 v1 · 2012-09-17 · 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{QQO5VCDERVLKQDVX7M5C7VV5T7}

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	2026-05-18T03:45:30.542681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

841dda88648d56a80eb7fb3a2fd6bd9ff7fd9683a23e9c276cfcc69c32655dea

Aliases

arxiv: 1209.3588 · arxiv_version: 1209.3588v1 · doi: 10.48550/arxiv.1209.3588 · pith_short_12: QQO5VCDERVLK · pith_short_16: QQO5VCDERVLKQDVX · pith_short_8: QQO5VCDE

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/QQO5VCDERVLKQDVX7M5C7VV5T7 \
  | 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: 841dda88648d56a80eb7fb3a2fd6bd9ff7fd9683a23e9c276cfcc69c32655dea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ad8c63a9034751d3a6a7be37338ab8c0530cc236c89fbcad6549f8c97c7f545",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-17T08:42:55Z",
    "title_canon_sha256": "0497262f3e7ab4860e01b611d649204397c84b947cbd2a717cd90de6f2ea745b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3588",
    "kind": "arxiv",
    "version": 1
  }
}