Pith Number

pith:R2DMOKAH

pith:2017:R2DMOKAHRZDZAMTC3METYKHJ2K

not attested not anchored not stored refs pending

Chip-firing on trees of loops

Nicholas Wawrykow, Sameer Kailasa, Vivian Kuperberg

arxiv:1706.04164 v1 · 2017-06-13 · 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{R2DMOKAHRZDZAMTC3METYKHJ2K}

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	2026-05-18T00:42:24.364900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e86c728078e47903262db093c28e9d2a530f5bd5547bce6ac71c1b5a9358738

Aliases

arxiv: 1706.04164 · arxiv_version: 1706.04164v1 · doi: 10.48550/arxiv.1706.04164 · pith_short_12: R2DMOKAHRZDZ · pith_short_16: R2DMOKAHRZDZAMTC · pith_short_8: R2DMOKAH

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/R2DMOKAHRZDZAMTC3METYKHJ2K \
  | 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: 8e86c728078e47903262db093c28e9d2a530f5bd5547bce6ac71c1b5a9358738

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b70e48895ab1c7c1544e7e3c03a47322868971eaa1ed47d296c9b785ddcf178e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-13T17:05:41Z",
    "title_canon_sha256": "8f9be0088f47cfe4dc3ded47d834458f7e6f0e08516997f60707e25b4f3bc36a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04164",
    "kind": "arxiv",
    "version": 1
  }
}