Pith Number

pith:PP3I2WCN

pith:2016:PP3I2WCNIUBU4N5C6VZE2MVSHA

not attested not anchored not stored refs pending

Generalised Ramsey numbers for two sets of cycles

Mikael Hansson

arxiv:1605.04301 v1 · 2016-05-13 · 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{PP3I2WCNIUBU4N5C6VZE2MVSHA}

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	2026-05-18T01:14:53.804333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bf68d584d45034e37a2f5724d32b2380fbd34ffbe6b560cca20e90c79afefd1

Aliases

arxiv: 1605.04301 · arxiv_version: 1605.04301v1 · doi: 10.48550/arxiv.1605.04301 · pith_short_12: PP3I2WCNIUBU · pith_short_16: PP3I2WCNIUBU4N5C · pith_short_8: PP3I2WCN

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/PP3I2WCNIUBU4N5C6VZE2MVSHA \
  | 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: 7bf68d584d45034e37a2f5724d32b2380fbd34ffbe6b560cca20e90c79afefd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7878e9b3c6dc1c0cd91b315450e194f94e629b390d6352b192acb8f03c12f362",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-13T19:47:22Z",
    "title_canon_sha256": "3d22ec77ebb6a5338c6b0166f6f4c1a62f12297058def776cc5af4ff60a71b79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04301",
    "kind": "arxiv",
    "version": 1
  }
}