Pith Number

pith:D7C6AKMK

pith:2024:D7C6AKMKZQ6UEZJSXIXES64HG5

not attested not anchored not stored refs pending

Extended Schur functions and bases related by involutions

Spencer Daugherty

arxiv:2401.02502 v2 · 2024-01-04 · 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{D7C6AKMKZQ6UEZJSXIXES64HG5}

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	2026-07-05T09:03:49.351798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fc5e0298acc3d426532ba2e497b8737786bbc835d083b6423a66ca0d161e23b

Aliases

arxiv: 2401.02502 · arxiv_version: 2401.02502v2 · doi: 10.48550/arxiv.2401.02502 · pith_short_12: D7C6AKMKZQ6U · pith_short_16: D7C6AKMKZQ6UEZJS · pith_short_8: D7C6AKMK

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/D7C6AKMKZQ6UEZJSXIXES64HG5 \
  | 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: 1fc5e0298acc3d426532ba2e497b8737786bbc835d083b6423a66ca0d161e23b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceefa97afa7cf09e5e85faed9364bcdf09655e30e25bda8e1a95314c9fb7ba14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-01-04T19:25:43Z",
    "title_canon_sha256": "2daef4555e4ed7b001e1bdfcf9f9c118da3948d7a92fdc73c7d547d87aff8ee3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.02502",
    "kind": "arxiv",
    "version": 2
  }
}