Pith Number

pith:DH3G2VXJ

pith:2014:DH3G2VXJBQOVH36PNAEGHBMS7P

not attested not anchored not stored refs pending

Dichotomy Theorems for Families of Non-Cofinal Essential Complexity

Benjamin D. Miller, Dominique Lecomte (IMJ), John D. Clemens

arxiv:1412.8684 v1 · 2014-12-30 · math.LO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DH3G2VXJBQOVH36PNAEGHBMS7P}

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	2026-05-18T02:30:16.716640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19f66d56e90c1d53efcf6808638592fbc71458963cf34389f8c7b97a36725fd8

Aliases

arxiv: 1412.8684 · arxiv_version: 1412.8684v1 · doi: 10.48550/arxiv.1412.8684 · pith_short_12: DH3G2VXJBQOV · pith_short_16: DH3G2VXJBQOVH36P · pith_short_8: DH3G2VXJ

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/DH3G2VXJBQOVH36PNAEGHBMS7P \
  | 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: 19f66d56e90c1d53efcf6808638592fbc71458963cf34389f8c7b97a36725fd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f1cf0a09045fb47a48d80d8d9e0ee697b4be95756ebeff7ca60237c3abfb9db",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-12-30T17:00:21Z",
    "title_canon_sha256": "1e681a14fef339d4c88c6995b8a11a0ce57d67c57ac15dc1ae633f46a788ec00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8684",
    "kind": "arxiv",
    "version": 1
  }
}