Pith Number

pith:OPCTLYTS

pith:2016:OPCTLYTSE6U3POVTHFBWGORZEK

not attested not anchored not stored refs pending

On edges not in monochromatic copies of a fixed bipartite graph

Jie Ma

arxiv:1605.09141 v1 · 2016-05-30 · 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{OPCTLYTSE6U3POVTHFBWGORZEK}

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	2026-05-18T01:13:21.952989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73c535e27227a9b7bab33943633a392296bdcb57709d295c01d1a31fb1d48e90

Aliases

arxiv: 1605.09141 · arxiv_version: 1605.09141v1 · doi: 10.48550/arxiv.1605.09141 · pith_short_12: OPCTLYTSE6U3 · pith_short_16: OPCTLYTSE6U3POVT · pith_short_8: OPCTLYTS

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/OPCTLYTSE6U3POVTHFBWGORZEK \
  | 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: 73c535e27227a9b7bab33943633a392296bdcb57709d295c01d1a31fb1d48e90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "318547aea736f4243daa13278d9e7240b5fd58adf19e1143865abaff77d91ddf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-30T08:57:10Z",
    "title_canon_sha256": "6b264a08f01041014f7454e21f854b35fe098c421a6ccf9ff216b6e0ffa26cbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09141",
    "kind": "arxiv",
    "version": 1
  }
}