Pith Number

pith:ZY7A32CA

pith:2026:ZY7A32CAJJTETDBJFKYTJLANKD

not attested not anchored not stored refs pending

On The Linearization of Alternative Means

Allan Merino, Jose Franco, Raluca Dumitru

arxiv:2606.25150 v1 · 2026-06-23 · 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{ZY7A32CAJJTETDBJFKYTJLANKD}

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	2026-06-25T00:18:19.410471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce3e0de8404a66498c292ab134ac0d50eaa02f95c467eefb7a40f1a1eb102853

Aliases

arxiv: 2606.25150 · arxiv_version: 2606.25150v1 · doi: 10.48550/arxiv.2606.25150 · pith_short_12: ZY7A32CAJJTE · pith_short_16: ZY7A32CAJJTETDBJ · pith_short_8: ZY7A32CA

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/ZY7A32CAJJTETDBJFKYTJLANKD \
  | 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: ce3e0de8404a66498c292ab134ac0d50eaa02f95c467eefb7a40f1a1eb102853

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef2703e0b83c9db03e438e9ab3d0c93bd8423ba07ad9d13a6dd99a6d72d3f6c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-23T20:34:52Z",
    "title_canon_sha256": "2ff2316d9aa682a49047493234930b9156875f4d577a167f7712e96afb4e218a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25150",
    "kind": "arxiv",
    "version": 1
  }
}