Pith Number

pith:CAOE5ERP

pith:2021:CAOE5ERPTXA54J42ALMDDHZFW4

not attested not anchored not stored refs pending

On a criterion for the determinate-indeterminate dichotomy of the moment problem

Diego Hern\'andez Bustos, Luis O. Silva, Sergio Palafox

arxiv:2107.00697 v3 · 2021-07-01 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CAOE5ERPTXA54J42ALMDDHZFW4}

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	2026-07-05T03:32:53.643180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

101c4e922f9dc1de279a02d8319f25b701f721fb91c83e31e4f36eedbf59bcb0

Aliases

arxiv: 2107.00697 · arxiv_version: 2107.00697v3 · doi: 10.48550/arxiv.2107.00697 · pith_short_12: CAOE5ERPTXA5 · pith_short_16: CAOE5ERPTXA54J42 · pith_short_8: CAOE5ERP

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/CAOE5ERPTXA54J42ALMDDHZFW4 \
  | 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: 101c4e922f9dc1de279a02d8319f25b701f721fb91c83e31e4f36eedbf59bcb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef3a4d9fc05f684a48c8a431e961b37ec5a0a629a47999a7073de4d54dfe5bc8",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2021-07-01T18:41:59Z",
    "title_canon_sha256": "f5c6b0db62d936cecd499699dad6212da0d452ebe68c2ee07cd55d8e45adacc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.00697",
    "kind": "arxiv",
    "version": 3
  }
}