Pith Number

pith:3OCIO4OM

pith:2010:3OCIO4OMCIXKZYLTOCPKQ4FFQE

not attested not anchored not stored refs pending

A q-analogue of some binomial coefficient identities of Y. Sun

Dan-Mei Yang, Victor J. W. Guo

arxiv:1008.1469 v2 · 2010-08-09 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3OCIO4OMCIXKZYLTOCPKQ4FFQE}

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	2026-05-18T03:58:24.942044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db848771cc122eace173709ea870a5813a3421fa28c6ae80bdae3c9de5a0a77d

Aliases

arxiv: 1008.1469 · arxiv_version: 1008.1469v2 · doi: 10.48550/arxiv.1008.1469 · pith_short_12: 3OCIO4OMCIXK · pith_short_16: 3OCIO4OMCIXKZYLT · pith_short_8: 3OCIO4OM

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/3OCIO4OMCIXKZYLTOCPKQ4FFQE \
  | 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: db848771cc122eace173709ea870a5813a3421fa28c6ae80bdae3c9de5a0a77d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f28be93d217a3d4212d62498aa71a43ce7497a8318adfcc96c779faef60f54b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-08-09T09:01:45Z",
    "title_canon_sha256": "e3298000edfc0ef58773872ffb8ef3f91b85e7c54b5e7367c3025f2a925ebae9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1469",
    "kind": "arxiv",
    "version": 2
  }
}