Pith Number

pith:EHTB22RQ

pith:2010:EHTB22RQLPDJVGQZK66ZVXBW7N

not attested not anchored not stored refs pending

Rational approximations for the quotient of gamma values

Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood

arxiv:1010.0429 v2 · 2010-10-03 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EHTB22RQLPDJVGQZK66ZVXBW7N}

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	2026-05-18T03:53:07.243948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21e61d6a305bc69a9a1957bd9adc36fb46f5fd6b1df379ed1fb21ee1ad4822dc

Aliases

arxiv: 1010.0429 · arxiv_version: 1010.0429v2 · doi: 10.48550/arxiv.1010.0429 · pith_short_12: EHTB22RQLPDJ · pith_short_16: EHTB22RQLPDJVGQZ · pith_short_8: EHTB22RQ

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/EHTB22RQLPDJVGQZK66ZVXBW7N \
  | 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: 21e61d6a305bc69a9a1957bd9adc36fb46f5fd6b1df379ed1fb21ee1ad4822dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6bb3798c3be019dc7bb518da77bc7e400a4133c5fe4d0b4c7dce694ffa804c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-10-03T19:04:24Z",
    "title_canon_sha256": "2fc5879855450cc628321e9b7446f295eb85606cd2fad8c14c7ae6da4c1a143d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0429",
    "kind": "arxiv",
    "version": 2
  }
}