Pith Number

pith:OAY3CPXC

pith:2020:OAY3CPXCB5VT5QG376ZTZPLOPR

not attested not anchored not stored refs pending

Packing cycles in undirected group-labelled graphs

Robin Thomas, Youngho Yoo

arxiv:2009.11266 v2 · 2020-09-23 · 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{OAY3CPXCB5VT5QG376ZTZPLOPR}

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	2026-07-05T08:35:32.335668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7031b13ee20f6b3ec0dbffb33cbd6e7c4775305130255da408084bbeb9ec217a

Aliases

arxiv: 2009.11266 · arxiv_version: 2009.11266v2 · doi: 10.48550/arxiv.2009.11266 · pith_short_12: OAY3CPXCB5VT · pith_short_16: OAY3CPXCB5VT5QG3 · pith_short_8: OAY3CPXC

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/OAY3CPXCB5VT5QG376ZTZPLOPR \
  | 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: 7031b13ee20f6b3ec0dbffb33cbd6e7c4775305130255da408084bbeb9ec217a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "072ae67c598a7f9b3e40d270a65e84e6f4adf0b003f013aac5f3e9a6e85f253a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-09-23T17:23:25Z",
    "title_canon_sha256": "1619cb57b2824861c3529c0bd58be71d125b08cf0adcb00e4857f0696e92d9aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.11266",
    "kind": "arxiv",
    "version": 2
  }
}