Pith Number

pith:PI2KZJVB

pith:2017:PI2KZJVBJX2NFVKUOA266Y2CWU

not attested not anchored not stored refs pending

Tau functions as Widom constants

M. Cafasso, O. Lisovyy, P. Gavrylenko

arxiv:1712.08546 v1 · 2017-12-22 · math-ph · hep-th · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PI2KZJVBJX2NFVKUOA266Y2CWU}

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	2026-05-17T23:53:44.406717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a34aca6a14df4d2d5547035ef6342b5355b3f80c0ce3c17d95f4a766f9fc915

Aliases

arxiv: 1712.08546 · arxiv_version: 1712.08546v1 · doi: 10.48550/arxiv.1712.08546 · pith_short_12: PI2KZJVBJX2N · pith_short_16: PI2KZJVBJX2NFVKU · pith_short_8: PI2KZJVB

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/PI2KZJVBJX2NFVKUOA266Y2CWU \
  | 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: 7a34aca6a14df4d2d5547035ef6342b5355b3f80c0ce3c17d95f4a766f9fc915

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "637e2c9c594d3facfe723b9d6484091938149527ba67667034931801969052a9",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-12-22T16:15:00Z",
    "title_canon_sha256": "b35f3ff27dcae0369605bc6106151fc2ae0537d09054938792a78e3db5f0cc08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08546",
    "kind": "arxiv",
    "version": 1
  }
}