Pith Number

pith:47FQ4IT4

pith:2024:47FQ4IT4TGJKRFAJ677O7TTUN4

not attested not anchored not stored refs pending

Freeness for tensors

Charles Bordenave, Remi Bonnin

arxiv:2407.18881 v4 · 2024-07-26 · math.PR · 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{47FQ4IT4TGJKRFAJ677O7TTUN4}

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.

Cited by

2 papers in Pith

Additional constraints for the tensor bootstrap

Properties of tensorial free cumulants

Receipt and verification

First computed	2026-06-23T03:13:43.588715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7cb0e227c9992a89409f7feefce746f116d4dc9ff3efa35940af314c3129363

Aliases

arxiv: 2407.18881 · arxiv_version: 2407.18881v4 · doi: 10.48550/arxiv.2407.18881 · pith_short_12: 47FQ4IT4TGJK · pith_short_16: 47FQ4IT4TGJKRFAJ · pith_short_8: 47FQ4IT4

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/47FQ4IT4TGJKRFAJ677O7TTUN4 \
  | 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: e7cb0e227c9992a89409f7feefce746f116d4dc9ff3efa35940af314c3129363

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "050625391aeea41040387ebe4f54b956ef3520d1a4c595b59aba10f6d71ea3ba",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-07-26T17:30:21Z",
    "title_canon_sha256": "5d57f07e6508a9b0825d341810869471510a1aca86dd3f4ca105e6f5a23637ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.18881",
    "kind": "arxiv",
    "version": 4
  }
}