Pith Number

pith:M3JFCLWP

pith:2016:M3JFCLWPDBO3PRF77IFWETBKB6

not attested not anchored not stored refs pending

Even and odd plane labelled bipartite trees

Yury Kochetkov

arxiv:1611.01010 v1 · 2016-11-03 · 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{M3JFCLWPDBO3PRF77IFWETBKB6}

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	2026-05-18T01:00:17.930122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66d2512ecf185db7c4bffa0b624c2a0f9db96c24f4783c2f4496d1cd41cf711d

Aliases

arxiv: 1611.01010 · arxiv_version: 1611.01010v1 · doi: 10.48550/arxiv.1611.01010 · pith_short_12: M3JFCLWPDBO3 · pith_short_16: M3JFCLWPDBO3PRF7 · pith_short_8: M3JFCLWP

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/M3JFCLWPDBO3PRF77IFWETBKB6 \
  | 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: 66d2512ecf185db7c4bffa0b624c2a0f9db96c24f4783c2f4496d1cd41cf711d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2c54fa9616da9aa0604d6d42a3699475aa9b25774edf95b1def4d9fca18f57b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-03T13:44:45Z",
    "title_canon_sha256": "5e83f4890f0cf55137f17fb3bccf8cf91b17938a03ae59fe5754d7c2ab025999"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01010",
    "kind": "arxiv",
    "version": 1
  }
}