Pith Number

pith:XH5RWC5R

pith:2018:XH5RWC5RQIJM5GW6LNJTZB7CHR

not attested not anchored not stored refs pending

Bumpless Pipedreams, Reduced Word Tableaux and Stanley Symmetric Functions

Neil J.Y. Fan, Peter L. Guo, Sophie C.C. Sun

arxiv:1810.11916 v1 · 2018-10-29 · 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{XH5RWC5RQIJM5GW6LNJTZB7CHR}

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	2026-05-18T00:02:07.051523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9fb1b0bb18212ce9ade5b533c87e23c584ebbb2c3d0acc4690e11c41c8b068b

Aliases

arxiv: 1810.11916 · arxiv_version: 1810.11916v1 · doi: 10.48550/arxiv.1810.11916 · pith_short_12: XH5RWC5RQIJM · pith_short_16: XH5RWC5RQIJM5GW6 · pith_short_8: XH5RWC5R

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/XH5RWC5RQIJM5GW6LNJTZB7CHR \
  | 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: b9fb1b0bb18212ce9ade5b533c87e23c584ebbb2c3d0acc4690e11c41c8b068b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca35444ed2c14cbe69a3751cdefb488d0b69866b7426f6c92edb7a3e1abb64f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-29T01:04:23Z",
    "title_canon_sha256": "27648f56afc04e95f6c0c117e738e44e4a7245e7eee55ab917773439cfc45a30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.11916",
    "kind": "arxiv",
    "version": 1
  }
}