Pith Number

pith:MOFUEIIU

pith:2025:MOFUEIIUAIWI6UGGBOJZXUOFMT

not attested not anchored not stored refs pending

Chip-Firing on Infinite $k$-ary Trees

Albert Xu, Anirudh Pulugurtha, Dillan Agrawal, Dohun Kim, Gordon Redwine, Jate Greene, Rajarshi Mandal, Selena Ge, Soham Samanta, Tanish Parida, Tanya Khovanova

arxiv:2501.06675 v1 · 2025-01-12 · 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{MOFUEIIUAIWI6UGGBOJZXUOFMT}

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	2026-07-05T10:00:08.436821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

638b422114022c8f50c60b939bd1c564c47e944f0d367bb31d957647ecda1691

Aliases

arxiv: 2501.06675 · arxiv_version: 2501.06675v1 · doi: 10.48550/arxiv.2501.06675 · pith_short_12: MOFUEIIUAIWI · pith_short_16: MOFUEIIUAIWI6UGG · pith_short_8: MOFUEIIU

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/MOFUEIIUAIWI6UGGBOJZXUOFMT \
  | 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: 638b422114022c8f50c60b939bd1c564c47e944f0d367bb31d957647ecda1691

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "824b365d4a03e67ddfb81c31ae621d060cb02eb2533ce2c575dffad227fc72f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-12T00:31:42Z",
    "title_canon_sha256": "b9f45daf2daf251ade8dc10301245d55953bb1837892c41aa7fb545f2e0c3021"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.06675",
    "kind": "arxiv",
    "version": 1
  }
}