pith. sign in
Pith Number

pith:BQUYDXJE

pith:2010:BQUYDXJEJROTQPYLWMT7MJFMPC
not attested not anchored not stored refs pending

Proof of Andrews' conjecture on a_4\phi_3 summation

Victor J. W. Guo

arxiv:1012.2545 v1 · 2010-12-12 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BQUYDXJEJROTQPYLWMT7MJFMPC}

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 2026-05-18T04:33:28.370995Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0c2981dd244c5d383f0bb327f624ac78beeb52c3f6b1ddb8dbda4fbb7a920e47

Aliases

arxiv: 1012.2545 · arxiv_version: 1012.2545v1 · doi: 10.48550/arxiv.1012.2545 · pith_short_12: BQUYDXJEJROT · pith_short_16: BQUYDXJEJROTQPYL · pith_short_8: BQUYDXJE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BQUYDXJEJROTQPYLWMT7MJFMPC \
  | 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: 0c2981dd244c5d383f0bb327f624ac78beeb52c3f6b1ddb8dbda4fbb7a920e47
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ee16ae525880e9190e4cacb99b3e9cc6c602d9e5285d4ad46ea96641ac1fccf7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-12T14:13:06Z",
    "title_canon_sha256": "970b036fc313129ea3445580c439456a8b96293518d50d9a6925f83079ad4873"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2545",
    "kind": "arxiv",
    "version": 1
  }
}