Pith Number

pith:TSYBUQFR

pith:2015:TSYBUQFRCD7NO3WATDG4ZWTQFB

not attested not anchored not stored refs pending

Feynman integral in $\mathbb R^1\oplus\mathbb R^m$ and complex expansion of $_2F_1$

Mykola A. Shpot, Tibor K. Pog\'any

arxiv:1510.08876 v2 · 2015-10-29 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TSYBUQFRCD7NO3WATDG4ZWTQFB}

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	2026-05-18T01:04:29.954434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cb01a40b110fed76ec098cdccda70286bf089d25196362f5fcd8e9b5bb7b5e2

Aliases

arxiv: 1510.08876 · arxiv_version: 1510.08876v2 · doi: 10.48550/arxiv.1510.08876 · pith_short_12: TSYBUQFRCD7N · pith_short_16: TSYBUQFRCD7NO3WA · pith_short_8: TSYBUQFR

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/TSYBUQFRCD7NO3WATDG4ZWTQFB \
  | 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: 9cb01a40b110fed76ec098cdccda70286bf089d25196362f5fcd8e9b5bb7b5e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c0342c8840e3a8a9f43ca245de86b1981aa88a446f1abccc93828f4229c15be",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-29T20:16:52Z",
    "title_canon_sha256": "e47757c8c6b709cffd9b9e00fa9a142a92aff23e09bdb7d502dc4f61c6845141"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08876",
    "kind": "arxiv",
    "version": 2
  }
}