Pith Number

pith:KYSWJL6U

pith:2016:KYSWJL6UPZ2VKOXBMDQDMOC6LU

not attested not anchored not stored refs pending

Asymptotic formulas for general colored partition functions

Ya-Li Li, Yong-Gao Chen

arxiv:1610.05938 v1 · 2016-10-19 · 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{KYSWJL6UPZ2VKOXBMDQDMOC6LU}

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	2026-05-18T01:01:50.633687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

562564afd47e75553ae160e036385e5d0b25312eaa87b8fbefad64a596ca4136

Aliases

arxiv: 1610.05938 · arxiv_version: 1610.05938v1 · doi: 10.48550/arxiv.1610.05938 · pith_short_12: KYSWJL6UPZ2V · pith_short_16: KYSWJL6UPZ2VKOXB · pith_short_8: KYSWJL6U

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/KYSWJL6UPZ2VKOXBMDQDMOC6LU \
  | 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: 562564afd47e75553ae160e036385e5d0b25312eaa87b8fbefad64a596ca4136

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eb5087b318c4fec44aedb0a19d3a67632ecd9b81de97df3f4ef2d95c7649a75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-19T09:44:45Z",
    "title_canon_sha256": "63cd8d508e2370d8475ae7eaf6d4d410ac48e36260f7cb0e3d6bcd20b01bb8ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05938",
    "kind": "arxiv",
    "version": 1
  }
}