Pith Number

pith:BIEPTZLH

pith:2024:BIEPTZLHJY5555KTRNJ4WJ34VF

not attested not anchored not stored refs pending

Positivity of Schubert Coefficients

Colleen Robichaux, Igor Pak

arxiv:2412.18984 v1 · 2024-12-25 · math.CO · cs.CC · cs.DM · math.HO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BIEPTZLHJY5555KTRNJ4WJ34VF}

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.

Cited by

1 paper in Pith

Vanishing of Schubert Coefficients

Receipt and verification

First computed	2026-07-05T09:54:14.331658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a08f9e5674e3bdef5538b53cb277ca97f223d404ced946381c745c1a5fedb11

Aliases

arxiv: 2412.18984 · arxiv_version: 2412.18984v1 · doi: 10.48550/arxiv.2412.18984 · pith_short_12: BIEPTZLHJY55 · pith_short_16: BIEPTZLHJY5555KT · pith_short_8: BIEPTZLH

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/BIEPTZLHJY5555KTRNJ4WJ34VF \
  | 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: 0a08f9e5674e3bdef5538b53cb277ca97f223d404ced946381c745c1a5fedb11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cd0694bbe1de8233080dc639a502bd07ced04e43640a230d7b3aa8b1bfc49e4",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM",
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-25T21:23:06Z",
    "title_canon_sha256": "1452b3cd4f3d9be7fce9f24f7cb03d8d1b8f83285495c9fd660f4e661789b65c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.18984",
    "kind": "arxiv",
    "version": 1
  }
}