Pith Number

pith:ET34C3OB

pith:2025:ET34C3OBZQS5OALHUNH2RRVPWN

not attested not anchored not stored refs pending

Chip-Firing and the Sandpile Group of the $R_{10}$ Matroid

Alex McDonough, Michael Ion

arxiv:2510.26021 v1 · 2025-10-29 · 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{ET34C3OBZQS5OALHUNH2RRVPWN}

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	2026-07-01T00:17:09.172104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24f7c16dc1cc25d70167a34fa8c6afb36b077f369652d777dcf8a9553006bbae

Aliases

arxiv: 2510.26021 · arxiv_version: 2510.26021v1 · doi: 10.48550/arxiv.2510.26021 · pith_short_12: ET34C3OBZQS5 · pith_short_16: ET34C3OBZQS5OALH · pith_short_8: ET34C3OB

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/ET34C3OBZQS5OALHUNH2RRVPWN \
  | 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: 24f7c16dc1cc25d70167a34fa8c6afb36b077f369652d777dcf8a9553006bbae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baa7a7f4a84ddfba38a0cd78245d3c2c96d43004266917f725cd6ea254d6511b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-10-29T23:29:44Z",
    "title_canon_sha256": "0bcdc02be8809684d1939beed986d46d59a691a4e6c890174b1d924ac9a8b35f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.26021",
    "kind": "arxiv",
    "version": 1
  }
}