Pith Number

pith:AIIFBCK7

pith:2014:AIIFBCK7EWJZ3FODLWHMU47OGO

not attested not anchored not stored refs pending

Power sum expansion of chromatic quasisymmetric functions

Christos A. Athanasiadis

arxiv:1409.2595 v2 · 2014-09-09 · 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{AIIFBCK7EWJZ3FODLWHMU47OGO}

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	2026-05-18T02:17:51.912532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

021050895f25939d95c35d8eca73ee338fd88a582ac29711508b38c7a90eaa50

Aliases

arxiv: 1409.2595 · arxiv_version: 1409.2595v2 · doi: 10.48550/arxiv.1409.2595 · pith_short_12: AIIFBCK7EWJZ · pith_short_16: AIIFBCK7EWJZ3FOD · pith_short_8: AIIFBCK7

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/AIIFBCK7EWJZ3FODLWHMU47OGO \
  | 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: 021050895f25939d95c35d8eca73ee338fd88a582ac29711508b38c7a90eaa50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d005e22628db6945a073767b19b9d1ebaeabe785d09e817b1dc39ffe8beadf7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-09T04:52:48Z",
    "title_canon_sha256": "b5b629a212abe34b92bf4c2d03d2d97ec3477c81875334c096dae96319200d36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2595",
    "kind": "arxiv",
    "version": 2
  }
}