Pith Number

pith:TDXMXC7C

pith:2016:TDXMXC7CEA6CYJJY7NMOGPV344

not attested not anchored not stored refs pending

Coincidences among skew dual stable Grothendieck polynomials

Albert Zheng, Alexander Clifton, Ethan Alwaise, Madeline Shinners, Rebecca Patrias, Rohil Prasad, Shuli Chen

arxiv:1609.06171 v1 · 2016-09-20 · 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{TDXMXC7CEA6CYJJY7NMOGPV344}

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	2026-05-18T00:20:57.197125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98eecb8be2203c2c2538fb58e33ebbe72755f55bcb15677d1e870ded3a5e236a

Aliases

arxiv: 1609.06171 · arxiv_version: 1609.06171v1 · doi: 10.48550/arxiv.1609.06171 · pith_short_12: TDXMXC7CEA6C · pith_short_16: TDXMXC7CEA6CYJJY · pith_short_8: TDXMXC7C

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/TDXMXC7CEA6CYJJY7NMOGPV344 \
  | 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: 98eecb8be2203c2c2538fb58e33ebbe72755f55bcb15677d1e870ded3a5e236a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a1293d493553e56c4aac608dfe28662cbc7796e34c4d822d7e0aac5030bbfb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-20T13:48:17Z",
    "title_canon_sha256": "8bcf17317776ecf5f3a4dd503113033d328779fc1eab99fb58128a8e6399be3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06171",
    "kind": "arxiv",
    "version": 1
  }
}