Pith Number

pith:SS4BH4EB

pith:2012:SS4BH4EBJB36AAB6OOBFYBXJAV

not attested not anchored not stored refs pending

Interval structure of the Pieri formula for Grothendieck polynomials

Viviane Pons

arxiv:1206.6204 v2 · 2012-06-27 · 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{SS4BH4EBJB36AAB6OOBFYBXJAV}

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	2026-05-18T03:31:54.213121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94b813f0814877e0003e73825c06e9056c528f7d7782d539e4a20de06be9924e

Aliases

arxiv: 1206.6204 · arxiv_version: 1206.6204v2 · doi: 10.48550/arxiv.1206.6204 · pith_short_12: SS4BH4EBJB36 · pith_short_16: SS4BH4EBJB36AAB6 · pith_short_8: SS4BH4EB

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/SS4BH4EBJB36AAB6OOBFYBXJAV \
  | 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: 94b813f0814877e0003e73825c06e9056c528f7d7782d539e4a20de06be9924e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "026af9a134567b94b578ca35e65894823173d811559a0f38dfc96f1d5ccd44be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-27T08:36:24Z",
    "title_canon_sha256": "41b99cb02f6e2cc254defc204f1b0e91f08f16a851df54387fa7163d3a1f00c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6204",
    "kind": "arxiv",
    "version": 2
  }
}