Pith Number

pith:SDHTWARM

pith:2017:SDHTWARM3KMG5M4WZIWTRV3PWZ

not attested not anchored not stored refs pending

Independent sets in hypergraphs and Ramsey properties of graphs and the integers

Andrew Treglown, Katherine Staden, Robert Hancock

arxiv:1701.04754 v4 · 2017-01-17 · 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{SDHTWARM3KMG5M4WZIWTRV3PWZ}

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	2026-05-17T23:59:44.758679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90cf3b022cda986eb396ca2d38d76fb64f214662a8f7f96f08b31d6b7a74e985

Aliases

arxiv: 1701.04754 · arxiv_version: 1701.04754v4 · doi: 10.48550/arxiv.1701.04754 · pith_short_12: SDHTWARM3KMG · pith_short_16: SDHTWARM3KMG5M4W · pith_short_8: SDHTWARM

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/SDHTWARM3KMG5M4WZIWTRV3PWZ \
  | 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: 90cf3b022cda986eb396ca2d38d76fb64f214662a8f7f96f08b31d6b7a74e985

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bd1a7b646d337e9f3e0bfd27f87df2b97f22e24ffa2404acd2bd3a9abbb1e47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-17T16:44:21Z",
    "title_canon_sha256": "7a9abc104e808d50ac61ede430bbff7630f17bd47cd48218a08d3796d572a3fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04754",
    "kind": "arxiv",
    "version": 4
  }
}