Pith Number

pith:HOAPMA7F

pith:2025:HOAPMA7FL6JUSS2HD7QCXHGD7M

not attested not anchored not stored refs pending

The chromatic symmetric function of graphs glued at a single vertex

Aarush Vailaya, Foster Tom

arxiv:2503.19344 v1 · 2025-03-25 · 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{HOAPMA7FL6JUSS2HD7QCXHGD7M}

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	2026-07-05T10:38:53.461039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b80f603e55f93494b471fe02b9cc3fb0f9165dc6cf9ffba1f4c98b1cc4fd2b9

Aliases

arxiv: 2503.19344 · arxiv_version: 2503.19344v1 · doi: 10.48550/arxiv.2503.19344 · pith_short_12: HOAPMA7FL6JU · pith_short_16: HOAPMA7FL6JUSS2H · pith_short_8: HOAPMA7F

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/HOAPMA7FL6JUSS2HD7QCXHGD7M \
  | 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: 3b80f603e55f93494b471fe02b9cc3fb0f9165dc6cf9ffba1f4c98b1cc4fd2b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea5cac8019ce3434031002a9380de027a748178cbae6ba67d485e9cfdf5e087c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-25T04:42:48Z",
    "title_canon_sha256": "7089e2943e39b79378a2cb1a2c6ac858e3d00f1a364e1a5553ef9e6d37234b81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.19344",
    "kind": "arxiv",
    "version": 1
  }
}