Pith Number

pith:YLPUDE3Q

pith:2017:YLPUDE3QLWW46NBDVSZ5ZPL242

not attested not anchored not stored refs pending

On the Schur positivity of $\Delta_{e_2} e_n[X]$

Dun Qiu, Emily Sergel, Guoce Xin, Jeffrey B. Remmel

arxiv:1710.03340 v1 · 2017-10-09 · 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{YLPUDE3QLWW46NBDVSZ5ZPL242}

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	2026-05-18T00:33:12.342147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2df4193705dadcf3423acb3dcbd7ae6be2176ccc868e9520eb1340838b76caf

Aliases

arxiv: 1710.03340 · arxiv_version: 1710.03340v1 · doi: 10.48550/arxiv.1710.03340 · pith_short_12: YLPUDE3QLWW4 · pith_short_16: YLPUDE3QLWW46NBD · pith_short_8: YLPUDE3Q

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/YLPUDE3QLWW46NBDVSZ5ZPL242 \
  | 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: c2df4193705dadcf3423acb3dcbd7ae6be2176ccc868e9520eb1340838b76caf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4769342dab7805aebd214d626d77810f9cc69d8a15d48f35c1e2b38c27b0e3ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-09T22:43:30Z",
    "title_canon_sha256": "07bcb966918e09856ad66faab326d5d1287f5ab81aa9d060f546f80a48b084a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03340",
    "kind": "arxiv",
    "version": 1
  }
}