Pith Number

pith:3KV7BL24

pith:2011:3KV7BL24HU3DUEBS4NQP4HGXOR

not attested not anchored not stored refs pending

Combinatorial expansions in K-theoretic bases

Jason Bandlow, Jennifer Morse

arxiv:1106.1594 v1 · 2011-06-08 · 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{3KV7BL24HU3DUEBS4NQP4HGXOR}

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	2026-05-18T04:20:22.705658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daabf0af5c3d363a1032e360fe1cd774433d7e427f8ed4e52294881ac2bc578a

Aliases

arxiv: 1106.1594 · arxiv_version: 1106.1594v1 · doi: 10.48550/arxiv.1106.1594 · pith_short_12: 3KV7BL24HU3D · pith_short_16: 3KV7BL24HU3DUEBS · pith_short_8: 3KV7BL24

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/3KV7BL24HU3DUEBS4NQP4HGXOR \
  | 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: daabf0af5c3d363a1032e360fe1cd774433d7e427f8ed4e52294881ac2bc578a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc18570d6f7bd337548008036ed3fd6e5b2129872f61596cc9b407a41c37420d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-08T16:30:51Z",
    "title_canon_sha256": "747750710b224ff23ab47dd8c04a25a6b4c926ffc95e53080eb38056ffc2944a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1594",
    "kind": "arxiv",
    "version": 1
  }
}