Pith Number

pith:S2VEV2AS

pith:2017:S2VEV2AS23QUEH4ITL34HB5OAA

not attested not anchored not stored refs pending

The Hopf algebra of skew shapes, torsion sheaves on A^n/F_1, and ideals in Hall algebras of monoid representations

Matt Szczesny

arxiv:1706.03900 v1 · 2017-06-13 · math.RT · math.AG · math.CO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S2VEV2AS23QUEH4ITL34HB5OAA}

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	2026-05-18T00:42:28.059973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96aa4ae812d6e1421f889af7c387ae001ab0c2180b2671b19b4f84be414ac1e3

Aliases

arxiv: 1706.03900 · arxiv_version: 1706.03900v1 · doi: 10.48550/arxiv.1706.03900 · pith_short_12: S2VEV2AS23QU · pith_short_16: S2VEV2AS23QUEH4I · pith_short_8: S2VEV2AS

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/S2VEV2AS23QUEH4ITL34HB5OAA \
  | 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: 96aa4ae812d6e1421f889af7c387ae001ab0c2180b2671b19b4f84be414ac1e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54f315bb085fef1b081833db522de9e36a41d66870a140204be6b451bc91d1e0",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-06-13T04:44:05Z",
    "title_canon_sha256": "6a8ba733ee40ae8b39c70bb568191420a8f646988d15afb31db814aed13ce307"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03900",
    "kind": "arxiv",
    "version": 1
  }
}