Pith Number

pith:GGXDWWXV

pith:2014:GGXDWWXV3WWUM4RDUA5BSEHRPI

not attested not anchored not stored refs pending

The Strength of Some Combinatorial Principles Related to Ramsey's Theorem for Pairs

Bj{\o}rn Kjos-Hanssen, Carl G. Jockusch, Denis R. Hirschfeldt, Steffen Lempp, Theodore A. Slaman

arxiv:1408.2897 v1 · 2014-08-13 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGXDWWXV3WWUM4RDUA5BSEHRPI}

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	2026-05-18T02:45:21.004134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31ae3b5af5ddad467223a03a1910f17a075cc798442caaaa485e71beb63a19d4

Aliases

arxiv: 1408.2897 · arxiv_version: 1408.2897v1 · doi: 10.48550/arxiv.1408.2897 · pith_short_12: GGXDWWXV3WWU · pith_short_16: GGXDWWXV3WWUM4RD · pith_short_8: GGXDWWXV

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/GGXDWWXV3WWUM4RDUA5BSEHRPI \
  | 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: 31ae3b5af5ddad467223a03a1910f17a075cc798442caaaa485e71beb63a19d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c49c18bd50df038a8c8788a22e72ad1ba15540c454815fdfe671e13cfe260d82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-08-13T01:21:33Z",
    "title_canon_sha256": "890be895c546d5ccc4b18796e4091fc2b51e67ef560e45a4e5adcd53117b5ef4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2897",
    "kind": "arxiv",
    "version": 1
  }
}