Pith Number

pith:BKAC23RJ

pith:2017:BKAC23RJHXD7HKREU4RZG6MDKU

not attested not anchored not stored refs pending

Schur positivity and log-concavity related to longest increasing subsequences

Alice L.L. Gao, Arthur L.B. Yang, Matthew H.Y. Xie

arxiv:1703.06382 v1 · 2017-03-19 · 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{BKAC23RJHXD7HKREU4RZG6MDKU}

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	2026-05-18T00:48:23.071258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a802d6e293dc7f3aa24a723937983552882bb881fa025b64bcea473c8b67d92

Aliases

arxiv: 1703.06382 · arxiv_version: 1703.06382v1 · doi: 10.48550/arxiv.1703.06382 · pith_short_12: BKAC23RJHXD7 · pith_short_16: BKAC23RJHXD7HKRE · pith_short_8: BKAC23RJ

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/BKAC23RJHXD7HKREU4RZG6MDKU \
  | 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: 0a802d6e293dc7f3aa24a723937983552882bb881fa025b64bcea473c8b67d92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bee48ca90a4595a697be7eaa7f90a23106667814f646520687c1e95c94b27848",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-19T02:23:39Z",
    "title_canon_sha256": "13d46d6f718039ed1a9e77214eb4d97e0a72821193dd255749f3a4e9fbdbe8a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06382",
    "kind": "arxiv",
    "version": 1
  }
}