Pith Number

pith:GERMDRJ4

pith:2009:GERMDRJ4YHRG6XB5XQWNTLGM5Y

not attested not anchored not stored refs pending

Pairs of lattice paths and positive trigonometric sums

Jiang Zeng, Victor J. W. Guo

arxiv:0903.5179 v3 · 2009-03-30 · 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{GERMDRJ4YHRG6XB5XQWNTLGM5Y}

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	2026-05-18T04:26:01.587054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3122c1c53cc1e26f5c3dbc2cd9acccee3496edc197ca005154069d16d2f2914c

Aliases

arxiv: 0903.5179 · arxiv_version: 0903.5179v3 · doi: 10.48550/arxiv.0903.5179 · pith_short_12: GERMDRJ4YHRG · pith_short_16: GERMDRJ4YHRG6XB5 · pith_short_8: GERMDRJ4

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/GERMDRJ4YHRG6XB5XQWNTLGM5Y \
  | 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: 3122c1c53cc1e26f5c3dbc2cd9acccee3496edc197ca005154069d16d2f2914c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15cd0f7e0d409f976ae0df6ecb997171c7e2c0da98c301ea31ee52ca91aa521d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-03-30T10:58:08Z",
    "title_canon_sha256": "cde7b5976270bf903366877c81c64f0aa7011f4bb9e7730a84e512dffabda3fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.5179",
    "kind": "arxiv",
    "version": 3
  }
}