Pith Number

pith:ZMYKJHAE

pith:2011:ZMYKJHAEAJVIYYG2ZUTZWRVWM7

not attested not anchored not stored refs pending

Some further q-series identities related to divisor functions

Cai Zhang, Victor J. W. Guo

arxiv:1104.0823 v1 · 2011-04-05 · 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{ZMYKJHAEAJVIYYG2ZUTZWRVWM7}

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	2026-05-18T03:58:24.776451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb30a49c04026a8c60dacd279b46b667c729a32ab2eb3b5454cf44a56dd55f41

Aliases

arxiv: 1104.0823 · arxiv_version: 1104.0823v1 · doi: 10.48550/arxiv.1104.0823 · pith_short_12: ZMYKJHAEAJVI · pith_short_16: ZMYKJHAEAJVIYYG2 · pith_short_8: ZMYKJHAE

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/ZMYKJHAEAJVIYYG2ZUTZWRVWM7 \
  | 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: cb30a49c04026a8c60dacd279b46b667c729a32ab2eb3b5454cf44a56dd55f41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69944491d7b38d8c58637f6cbcc0434c6ecfc937ea8ed41975c6d64a32db2422",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-05T12:30:09Z",
    "title_canon_sha256": "db8fbed159245d87f6c7a805ca2676184561967830a7c0ccb89fce0150182c71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0823",
    "kind": "arxiv",
    "version": 1
  }
}