Pith Number

pith:3RGE2LLV

pith:2012:3RGE2LLVMMWCMFQMRYF4RW2F4O

not attested not anchored not stored refs pending

Indiscernibles, EM-types, and Ramsey Classes of Trees

Lynn Scow

arxiv:1208.2991 v3 · 2012-08-14 · math.LO · 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{3RGE2LLVMMWCMFQMRYF4RW2F4O}

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	2026-05-18T01:21:05.698237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc4c4d2d75632c26160c8e0bc8db45e39488e6b52e0309110346226ff218b67e

Aliases

arxiv: 1208.2991 · arxiv_version: 1208.2991v3 · doi: 10.48550/arxiv.1208.2991 · pith_short_12: 3RGE2LLVMMWC · pith_short_16: 3RGE2LLVMMWCMFQM · pith_short_8: 3RGE2LLV

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/3RGE2LLVMMWCMFQMRYF4RW2F4O \
  | 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: dc4c4d2d75632c26160c8e0bc8db45e39488e6b52e0309110346226ff218b67e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffc2884c8086e9bd6600584e7c47342f0eb1125a1ddf2da2013e541452a9e974",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-08-14T23:11:33Z",
    "title_canon_sha256": "a343a28729211ff6154e8b98f6747d4d059cda512b2f19180f7504b4dcbea91f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2991",
    "kind": "arxiv",
    "version": 3
  }
}