Pith Number

pith:CJTRFBCQ

pith:2015:CJTRFBCQ7GITSMEABNUDTGP5TM

not attested not anchored not stored refs pending

On the complexity of the chip-firing reachability problem

B\'alint Hujter, Lilla T\'othm\'er\'esz, Viktor Kiss

arxiv:1507.03209 v4 · 2015-07-12 · 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{CJTRFBCQ7GITSMEABNUDTGP5TM}

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	2026-05-18T00:44:10.053126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1267128450f9913930800b683999fd9b05e1f7c7cee733a1e5903b0c2b6dc239

Aliases

arxiv: 1507.03209 · arxiv_version: 1507.03209v4 · doi: 10.48550/arxiv.1507.03209 · pith_short_12: CJTRFBCQ7GIT · pith_short_16: CJTRFBCQ7GITSMEA · pith_short_8: CJTRFBCQ

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/CJTRFBCQ7GITSMEABNUDTGP5TM \
  | 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: 1267128450f9913930800b683999fd9b05e1f7c7cee733a1e5903b0c2b6dc239

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b6cd89d15f3721ddb1e63073d5b4a5e6e2682d1806d39807869ee5b01759995",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-12T09:52:21Z",
    "title_canon_sha256": "3cb8e03148cc8144c9e1ba1665fb26344f5c2c6af77fae350cc8c0eebdbe4fb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03209",
    "kind": "arxiv",
    "version": 4
  }
}