Pith Number

pith:7UG5IC57

pith:2014:7UG5IC57VGCTPJL75BLAWUHHHY

not attested not anchored not stored refs pending

A Gysin formula for Hall-Littlewood polynomials

Piotr Pragacz

arxiv:1403.0788 v8 · 2014-03-04 · math.AG · 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{7UG5IC57VGCTPJL75BLAWUHHHY}

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	2026-05-18T01:17:37.933048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd0dd40bbfa98537a57fe8560b50e73e075b5cb450a4a0822a3288ecd39aa92b

Aliases

arxiv: 1403.0788 · arxiv_version: 1403.0788v8 · doi: 10.48550/arxiv.1403.0788 · pith_short_12: 7UG5IC57VGCT · pith_short_16: 7UG5IC57VGCTPJL7 · pith_short_8: 7UG5IC57

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/7UG5IC57VGCTPJL75BLAWUHHHY \
  | 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: fd0dd40bbfa98537a57fe8560b50e73e075b5cb450a4a0822a3288ecd39aa92b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "999e2e89d1093c21fd46b9951cfdccbb3b00e1aa858f13c1f7d41d52afef7a30",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-03-04T13:43:42Z",
    "title_canon_sha256": "90a28f765944e402280cc68eaa298885a5302f2c7add60cc929ceabb538711eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0788",
    "kind": "arxiv",
    "version": 8
  }
}