Pith Number

pith:GKUR4VKS

pith:2007:GKUR4VKS23HMEWNAPRERU2Q7G5

not attested not anchored not stored refs pending

A matroid-friendly basis for the quasisymmetric functions

Kurt W. Luoto

arxiv:0704.0836 v2 · 2007-04-06 · 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{GKUR4VKS23HMEWNAPRERU2Q7G5}

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	2026-05-18T04:34:37.658925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32a91e5552d6cec259a07c491a6a1f376884f5b040a897871572f05e736704b2

Aliases

arxiv: 0704.0836 · arxiv_version: 0704.0836v2 · doi: 10.48550/arxiv.0704.0836 · pith_short_12: GKUR4VKS23HM · pith_short_16: GKUR4VKS23HMEWNA · pith_short_8: GKUR4VKS

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/GKUR4VKS23HMEWNAPRERU2Q7G5 \
  | 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: 32a91e5552d6cec259a07c491a6a1f376884f5b040a897871572f05e736704b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bdd18b0dc441d1220a12a62ed90336f82e69c80704360b039b5079ee2f40d73",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-04-06T02:43:59Z",
    "title_canon_sha256": "73ea3d8826fc2b849663a6b492486bfa0a5046559c29499c96d1cf81c2bc46f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.0836",
    "kind": "arxiv",
    "version": 2
  }
}