Pith Number

pith:YBXKOQOU

pith:2013:YBXKOQOUJ4EZL46FXTASS3YMEO

not attested not anchored not stored refs pending

HYPERgeometric functions DIfferential REduction: MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: Horn hypergeometric functions of two variables

B. Kniehl, V. Bytev

arxiv:1309.2806 v2 · 2013-09-11 · math-ph · cs.SC · hep-ph · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YBXKOQOUJ4EZL46FXTASS3YMEO}

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	2026-05-18T01:47:43.275361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c06ea741d44f0995f3c5bcc1296f0c23b4b1c727e1030b671c9c8a9d33c15f5d

Aliases

arxiv: 1309.2806 · arxiv_version: 1309.2806v2 · doi: 10.48550/arxiv.1309.2806 · pith_short_12: YBXKOQOUJ4EZ · pith_short_16: YBXKOQOUJ4EZL46F · pith_short_8: YBXKOQOU

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/YBXKOQOUJ4EZL46FXTASS3YMEO \
  | 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: c06ea741d44f0995f3c5bcc1296f0c23b4b1c727e1030b671c9c8a9d33c15f5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa1024be5f41707e45ed552666d21e74d6040aa43677fab26814acaac3f05dd8",
    "cross_cats_sorted": [
      "cs.SC",
      "hep-ph",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-11T12:33:47Z",
    "title_canon_sha256": "06525919c4de22a13697b5a5d4d2e43f1ce86bb18c43bdf736ad35dd747f8f14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2806",
    "kind": "arxiv",
    "version": 2
  }
}