Pith Number

pith:NKHPV2OH

pith:2017:NKHPV2OHDBQSUPLTCNFLYH7SBA

not attested not anchored not stored refs pending

Newton polytopes and symmetric Grothendieck polynomials

Alexander Yong, Laura Escobar

arxiv:1705.07876 v1 · 2017-05-22 · 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{NKHPV2OHDBQSUPLTCNFLYH7SBA}

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	2026-05-18T00:32:50.716381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a8efae9c718612a3d73134abc1ff20800c52b07701460994c3d5143a3ed5846

Aliases

arxiv: 1705.07876 · arxiv_version: 1705.07876v1 · doi: 10.48550/arxiv.1705.07876 · pith_short_12: NKHPV2OHDBQS · pith_short_16: NKHPV2OHDBQSUPLT · pith_short_8: NKHPV2OH

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/NKHPV2OHDBQSUPLTCNFLYH7SBA \
  | 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: 6a8efae9c718612a3d73134abc1ff20800c52b07701460994c3d5143a3ed5846

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb3d71453d0a0def876c950597fd7e38b1685857d4d6a9e7043b423cedf5934e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-22T17:40:25Z",
    "title_canon_sha256": "c35b5f8b3f9683d4610ba0a14254e0dc151b3ecec9c0c4a7c8b5ddb1f159e767"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07876",
    "kind": "arxiv",
    "version": 1
  }
}