Pith Number

pith:FLJWFQJH

pith:2010:FLJWFQJH7MGELVNX3COOBV63FA

not attested not anchored not stored refs pending

On the finite-dimensional marginals of shift-invariant measures

E. Ugalde, J.-M. Gambaudo, J.-R. Chazottes, M. Hochman

arxiv:1011.2442 v2 · 2010-11-10 · math.DS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FLJWFQJH7MGELVNX3COOBV63FA}

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	2026-05-18T04:12:44.742915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ad362c127fb0c45d5b7d89ce0d7db283cd0a36cca825825fdbdc1494015efd3

Aliases

arxiv: 1011.2442 · arxiv_version: 1011.2442v2 · doi: 10.48550/arxiv.1011.2442 · pith_short_12: FLJWFQJH7MGE · pith_short_16: FLJWFQJH7MGELVNX · pith_short_8: FLJWFQJH

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/FLJWFQJH7MGELVNX3COOBV63FA \
  | 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: 2ad362c127fb0c45d5b7d89ce0d7db283cd0a36cca825825fdbdc1494015efd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8bedca453fceeb7d0df37e605fa5eff4527b040220d3d61a542573373ccde73",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-10T17:36:08Z",
    "title_canon_sha256": "f2e776e9e3d4091355130054c3b6eaf500ab58cea43b16025d9df797f0cbac94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2442",
    "kind": "arxiv",
    "version": 2
  }
}