Pith Number

pith:DWE7IIXP

pith:2015:DWE7IIXP7JYQZKUJUYULKY3CFA

not attested not anchored not stored refs pending

Chip-firing on general invertible matrices

Caroline Klivans, Johnny Guzman

arxiv:1508.04262 v1 · 2015-08-18 · 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{DWE7IIXP7JYQZKUJUYULKY3CFA}

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	2026-05-18T01:35:05.782832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d89f422effa710caa89a628b56362282fe1729f70aaa28950a9b9a44c1e56aa

Aliases

arxiv: 1508.04262 · arxiv_version: 1508.04262v1 · doi: 10.48550/arxiv.1508.04262 · pith_short_12: DWE7IIXP7JYQ · pith_short_16: DWE7IIXP7JYQZKUJ · pith_short_8: DWE7IIXP

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/DWE7IIXP7JYQZKUJUYULKY3CFA \
  | 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: 1d89f422effa710caa89a628b56362282fe1729f70aaa28950a9b9a44c1e56aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a85ab1f80366212f70c57bbba850eeb1d4ceb159820d3b12e5a84020c699ab1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-18T09:54:28Z",
    "title_canon_sha256": "29fa5f43751a6489b6feedf45fbca88d20cebddde786b80a760328287d6fb9a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04262",
    "kind": "arxiv",
    "version": 1
  }
}