Pith Number

pith:OTWOB7MH

pith:2016:OTWOB7MHAQNE3SCPWRKPADZPDZ

not attested not anchored not stored refs pending

Phase transition results for three Ramsey-like theorems

Florian Pelupessy

arxiv:1603.06695 v1 · 2016-03-22 · 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{OTWOB7MHAQNE3SCPWRKPADZPDZ}

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	2026-05-18T01:12:48.681549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74ece0fd87041a4dc84fb454f00f2f1e6fb0305e9e5095d1911d309ed62bbe01

Aliases

arxiv: 1603.06695 · arxiv_version: 1603.06695v1 · doi: 10.48550/arxiv.1603.06695 · pith_short_12: OTWOB7MHAQNE · pith_short_16: OTWOB7MHAQNE3SCP · pith_short_8: OTWOB7MH

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/OTWOB7MHAQNE3SCPWRKPADZPDZ \
  | 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: 74ece0fd87041a4dc84fb454f00f2f1e6fb0305e9e5095d1911d309ed62bbe01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "583ca82f96956332e0095598190f55c907d5edd35b875dacbfe2e026000fbf13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-03-22T07:48:00Z",
    "title_canon_sha256": "7e1e55505a2e3ca69291e6ae067e39bea27b0f5903761a86d41f22aa6a87a648"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06695",
    "kind": "arxiv",
    "version": 1
  }
}