Pith Number

pith:UKK6L24W

pith:2011:UKK6L24WONW4NHEATZSE6VQYZY

not attested not anchored not stored refs pending

Multi-valued, singular stochastic evolution inclusions

Benjamin Gess, Jonas M. T\"olle

arxiv:1112.5672 v2 · 2011-12-23 · math.PR · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UKK6L24WONW4NHEATZSE6VQYZY}

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	2026-05-18T03:05:36.315162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a295e5eb96736dc69c809e644f5618ce2ec2e2e5e93a7cf738ca691213e77a53

Aliases

arxiv: 1112.5672 · arxiv_version: 1112.5672v2 · doi: 10.48550/arxiv.1112.5672 · pith_short_12: UKK6L24WONW4 · pith_short_16: UKK6L24WONW4NHEA · pith_short_8: UKK6L24W

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/UKK6L24WONW4NHEATZSE6VQYZY \
  | 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: a295e5eb96736dc69c809e644f5618ce2ec2e2e5e93a7cf738ca691213e77a53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bef18f7ef673fa60cd4a11443a2894fd84af3f4c99b1e470285fdcdb0d7eb9c",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-23T23:30:51Z",
    "title_canon_sha256": "4311dc9e2d2d4b189ffb0e7265e9de7615fd9f311fc2bd36b527ec68921ea602"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5672",
    "kind": "arxiv",
    "version": 2
  }
}