Pith Number

pith:ODSZ4W5G

pith:2021:ODSZ4W5G7FDCVUSQJLE2MIDCEL

not attested not anchored not stored refs pending

Hyperbolic and trigonometric hypergeometric solutions to the star-star equation

Erdal Catak, Ilmar Gahramanov, Mustafa Mullahasanoglu

arxiv:2107.06880 v3 · 2021-07-14 · 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{ODSZ4W5G7FDCVUSQJLE2MIDCEL}

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

1 paper in Pith

Flipping relation as a reduced star-star relation

Receipt and verification

First computed	2026-07-05T06:06:51.903497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70e59e5ba6f9462ad2504ac9a6206222dc561903b06847a09b072617857cad1d

Aliases

arxiv: 2107.06880 · arxiv_version: 2107.06880v3 · doi: 10.48550/arxiv.2107.06880 · pith_short_12: ODSZ4W5G7FDC · pith_short_16: ODSZ4W5G7FDCVUSQ · pith_short_8: ODSZ4W5G

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/ODSZ4W5G7FDCVUSQJLE2MIDCEL \
  | 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: 70e59e5ba6f9462ad2504ac9a6206222dc561903b06847a09b072617857cad1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "082d975ce509199e83cdeafae02d84942764b86bc3507f95e4e8822f61aeb58a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-07-14T17:53:33Z",
    "title_canon_sha256": "8987efea87e2c39a6b0b15df3ddd2a67324a5350cce1fd15d7ffb61d262715bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.06880",
    "kind": "arxiv",
    "version": 3
  }
}