Pith Number

pith:3KFCX5RY

pith:2015:3KFCX5RYKW4YTXRRIRDXYO73PG

not attested not anchored not stored refs pending

Chromatic bases for symmetric functions

Soojin Cho, Stephanie van Willigenburg

arxiv:1508.07670 v3 · 2015-08-31 · 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{3KFCX5RYKW4YTXRRIRDXYO73PG}

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	2026-05-18T01:07:21.114912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da8a2bf63855b989de3144477c3bfb79ad69bc449be81105a4696a65535b1eab

Aliases

arxiv: 1508.07670 · arxiv_version: 1508.07670v3 · doi: 10.48550/arxiv.1508.07670 · pith_short_12: 3KFCX5RYKW4Y · pith_short_16: 3KFCX5RYKW4YTXRR · pith_short_8: 3KFCX5RY

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/3KFCX5RYKW4YTXRRIRDXYO73PG \
  | 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: da8a2bf63855b989de3144477c3bfb79ad69bc449be81105a4696a65535b1eab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d508c8acb28373712a38d1e3bd24a425d0b864d042d6341281992e2e20f18e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-31T03:03:49Z",
    "title_canon_sha256": "82ece285d626e6ea12ebbd38b3bc56fa209c5ea3f25e9300653a77faacc2dc1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07670",
    "kind": "arxiv",
    "version": 3
  }
}