Pith Number

pith:N7R3TRF7

pith:2016:N7R3TRF7NS5OZ3KTQXO73OOK4D

not attested not anchored not stored refs pending

Stochastic invariance of closed sets with non-Lipschitz coefficients

Bruno Bouchard (CEREMADE), Camille Illand, Eduardo Abi Jaber (CEREMADE), Eduardo Jaber

arxiv:1607.08717 v3 · 2016-07-29 · 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{N7R3TRF7NS5OZ3KTQXO73OOK4D}

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	2026-05-18T00:12:46.061031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fe3b9c4bf6cbaeced5385ddfdb9cae0d5fa224abd7ba40b99da363727839458

Aliases

arxiv: 1607.08717 · arxiv_version: 1607.08717v3 · doi: 10.48550/arxiv.1607.08717 · pith_short_12: N7R3TRF7NS5O · pith_short_16: N7R3TRF7NS5OZ3KT · pith_short_8: N7R3TRF7

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/N7R3TRF7NS5OZ3KTQXO73OOK4D \
  | 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: 6fe3b9c4bf6cbaeced5385ddfdb9cae0d5fa224abd7ba40b99da363727839458

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a082531a23b3e4a3e2fd5a12e8a03e6ee2906adb885299ad5b2024760a66a4f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-29T08:04:20Z",
    "title_canon_sha256": "f5b8b8cd644485724036245a2cbb2ad02ac5ac740bf06fbcee0b85c49fd40042"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08717",
    "kind": "arxiv",
    "version": 3
  }
}