Pith Number

pith:NNVUCLKZ

pith:2025:NNVUCLKZEOVHQ4CBTEUQN4BZ7L

not attested not anchored not stored refs pending

Flipping relation as a reduced star-star relation

Erdal Catak, Mustafa Mullahasanoglu

arxiv:2508.19941 v1 · 2025-08-27 · hep-th · math-ph · 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{NNVUCLKZEOVHQ4CBTEUQN4BZ7L}

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	2026-07-05T12:00:20.575925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b6b412d5923aa787041992906f039faf33f720621b83b369d212dbcb4adef70

Aliases

arxiv: 2508.19941 · arxiv_version: 2508.19941v1 · doi: 10.48550/arxiv.2508.19941 · pith_short_12: NNVUCLKZEOVH · pith_short_16: NNVUCLKZEOVHQ4CB · pith_short_8: NNVUCLKZ

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/NNVUCLKZEOVHQ4CBTEUQN4BZ7L \
  | 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: 6b6b412d5923aa787041992906f039faf33f720621b83b369d212dbcb4adef70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcefb73c603164222176001d6269302eb04f8c4af4411003db068fa3e3a951b3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-08-27T14:59:11Z",
    "title_canon_sha256": "b6d3c09b891f3ea655b644971cfe9bc695f24b5e14c911a03ab9ecaf95701265"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.19941",
    "kind": "arxiv",
    "version": 1
  }
}