Pith Number

pith:XZCKYCG6

pith:2012:XZCKYCG652IIHPITIMQTBHW46W

not attested not anchored not stored refs pending

Finding minors in graphs with a given path structure

Andr\'e K\"undgen, Michael J. Pelsmajer, Radhika Ramamurthi

arxiv:1207.6141 v1 · 2012-07-25 · 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{XZCKYCG652IIHPITIMQTBHW46W}

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	2026-05-18T03:50:08.747290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be44ac08deee9083bd134321309edcf5998fe2c80cc76e7c7797f4ad44cdef9f

Aliases

arxiv: 1207.6141 · arxiv_version: 1207.6141v1 · doi: 10.48550/arxiv.1207.6141 · pith_short_12: XZCKYCG652II · pith_short_16: XZCKYCG652IIHPIT · pith_short_8: XZCKYCG6

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/XZCKYCG652IIHPITIMQTBHW46W \
  | 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: be44ac08deee9083bd134321309edcf5998fe2c80cc76e7c7797f4ad44cdef9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cff955ae723042245bceb4f87e783639a29f9d18444a9e9ef5dbd1bc76394d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-25T22:48:23Z",
    "title_canon_sha256": "c932bbc7dca1553c6389d499454165e224a2a8ad051781a09d16d4283365f4fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6141",
    "kind": "arxiv",
    "version": 1
  }
}