Pith Number

pith:RYMFQ6CP

pith:2016:RYMFQ6CP6ZMU3ZNYX4AILUJHVU

not attested not anchored not stored refs pending

On the Ramsey Numbers of Trees with Small Diameter

Patrick Bahls, T. Scott Spencer

arxiv:1604.06513 v1 · 2016-04-21 · 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{RYMFQ6CP6ZMU3ZNYX4AILUJHVU}

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	2026-05-18T01:16:28.870685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e1858784ff6594de5b8bf0085d127ad0e2e4632f5044a33683b5d05555e928e

Aliases

arxiv: 1604.06513 · arxiv_version: 1604.06513v1 · doi: 10.48550/arxiv.1604.06513 · pith_short_12: RYMFQ6CP6ZMU · pith_short_16: RYMFQ6CP6ZMU3ZNY · pith_short_8: RYMFQ6CP

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/RYMFQ6CP6ZMU3ZNYX4AILUJHVU \
  | 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: 8e1858784ff6594de5b8bf0085d127ad0e2e4632f5044a33683b5d05555e928e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0220fc9048b74651ac4c8a057abffe0a294f43be15a76b9984f63d38275e967",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-21T23:53:58Z",
    "title_canon_sha256": "71bdb0318b74df4c250faa75aff93df3dce8ace83451106359632d26b327b184"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06513",
    "kind": "arxiv",
    "version": 1
  }
}