Pith Number

pith:XTUBC5D7

pith:2025:XTUBC5D7TW3EWVGOQI3RZQFDCM

not attested not anchored not stored refs pending

Toward Lower Bounds for Chromatic Symmetric Functions in the Elementary Basis

Isaiah Siegl

arxiv:2509.02841 v3 · 2025-09-02 · 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{XTUBC5D7TW3EWVGOQI3RZQFDCM}

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	2026-08-04T00:30:17.559853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bce811747f9db64b54ce82371cc0a31318c8bdd917dd21dcd7f1fbefb9ffbf0e

Aliases

arxiv: 2509.02841 · arxiv_version: 2509.02841v3 · doi: 10.48550/arxiv.2509.02841 · pith_short_12: XTUBC5D7TW3E · pith_short_16: XTUBC5D7TW3EWVGO · pith_short_8: XTUBC5D7

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/XTUBC5D7TW3EWVGOQI3RZQFDCM \
  | 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: bce811747f9db64b54ce82371cc0a31318c8bdd917dd21dcd7f1fbefb9ffbf0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68f899b6de59f3be86d5dc9adbdaae7c3dd4b66d07025c8382ca8e8433f1e689",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-09-02T21:20:53Z",
    "title_canon_sha256": "b504e638fc6e531c16e9566c9b188c24c45f22008b8076ce303d7ce970029d1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.02841",
    "kind": "arxiv",
    "version": 3
  }
}