Pith Number

pith:DVHKRXWE

pith:2015:DVHKRXWEECYR5JJLJ26LFN44QF

not attested not anchored not stored refs pending

Forcing with Bushy Trees

Joseph S. Miller, Mushfeq Khan

arxiv:1503.08870 v2 · 2015-03-30 · 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{DVHKRXWEECYR5JJLJ26LFN44QF}

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.

Cited by

1 paper in Pith

Ramsey-like theorems and immunities

Receipt and verification

First computed	2026-05-18T00:48:20.763813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d4ea8dec420b11ea52b4ebcb2b79c814ed6d149ba1d62c723fbd2e8dc0eec97

Aliases

arxiv: 1503.08870 · arxiv_version: 1503.08870v2 · doi: 10.48550/arxiv.1503.08870 · pith_short_12: DVHKRXWEECYR · pith_short_16: DVHKRXWEECYR5JJL · pith_short_8: DVHKRXWE

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/DVHKRXWEECYR5JJLJ26LFN44QF \
  | 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: 1d4ea8dec420b11ea52b4ebcb2b79c814ed6d149ba1d62c723fbd2e8dc0eec97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5216e32e749ca5162fa7ac9862c5dfa026626dc3d07018266ad6aca4a3a64076",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-03-30T22:57:11Z",
    "title_canon_sha256": "3f6af46cd2a61ff14a5191b334663cbcf33715b91480ac2df984daf1bd5a4989"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08870",
    "kind": "arxiv",
    "version": 2
  }
}