Pith Number

pith:MJ7SNRP7

pith:2024:MJ7SNRP7SOW75LO3ZBVR42PCB3

not attested not anchored not stored refs pending

A remark on the Whitney Broken Circuit Theorem

Aldo Procacci, Emanuel Juliano, Paula M. S. Fialho

arxiv:2407.04035 v1 · 2024-07-04 · 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{MJ7SNRP7SOW75LO3ZBVR42PCB3}

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.

Cited by

1 paper in Pith

On the independent set polynomial of graphs and claw-free graphs

Receipt and verification

First computed	2026-07-05T08:40:27.692306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

627f26c5ff93adfeaddbc86b1e69e20efb5d1e7ddf3ac9cf20445207de6f1a01

Aliases

arxiv: 2407.04035 · arxiv_version: 2407.04035v1 · doi: 10.48550/arxiv.2407.04035 · pith_short_12: MJ7SNRP7SOW7 · pith_short_16: MJ7SNRP7SOW75LO3 · pith_short_8: MJ7SNRP7

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/MJ7SNRP7SOW75LO3ZBVR42PCB3 \
  | 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: 627f26c5ff93adfeaddbc86b1e69e20efb5d1e7ddf3ac9cf20445207de6f1a01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "040bee83909b1b487ace4b59a2ad0249864c29fe68de18a2cccc34603323a47b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-07-04T16:20:24Z",
    "title_canon_sha256": "02d64dc7bca8cd5e47ccd05f374953fac5ea47680ffd933741b329ceb03db49a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.04035",
    "kind": "arxiv",
    "version": 1
  }
}