Pith Number

pith:LLTBWQWE

pith:2014:LLTBWQWEJSBGJLEZGXZ7TGCHUI

not attested not anchored not stored refs pending

On the asymptotic behavior of unimodal rank generating functions

Byungchan Kim, Kathrin Bringmann

arxiv:1412.7379 v1 · 2014-12-23 · math.NT · 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{LLTBWQWEJSBGJLEZGXZ7TGCHUI}

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	2026-05-18T02:30:38.992802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ae61b42c44c8264ac9935f3f99847a2147e245955a24155a729c8cf6002a16e

Aliases

arxiv: 1412.7379 · arxiv_version: 1412.7379v1 · doi: 10.48550/arxiv.1412.7379 · pith_short_12: LLTBWQWEJSBG · pith_short_16: LLTBWQWEJSBGJLEZ · pith_short_8: LLTBWQWE

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/LLTBWQWEJSBGJLEZGXZ7TGCHUI \
  | 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: 5ae61b42c44c8264ac9935f3f99847a2147e245955a24155a729c8cf6002a16e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1ab2cf6587fe1561c338860237d5ec4f564524ab7a250a4d3aec3057e172b17",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-23T14:39:02Z",
    "title_canon_sha256": "9a1bf800aa294f2e1c315d4d08ee328d679db886691f61a273ac8faa9c528fbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7379",
    "kind": "arxiv",
    "version": 1
  }
}