Pith Number

pith:6ZLDMXRO

pith:2018:6ZLDMXROB5EUZZWLKG2XN3B7JA

not attested not anchored not stored refs pending

Small sets in Mann pairs

Pantelis E. Eleftheriou

arxiv:1812.07970 v1 · 2018-12-19 · 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{6ZLDMXROB5EUZZWLKG2XN3B7JA}

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

Trace definability I: preservation and characterizations

Receipt and verification

First computed	2026-05-17T23:57:55.359597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f656365e2e0f494ce6cb51b576ec3f48027247d2d8f6623646b9bedcaed5b5d8

Aliases

arxiv: 1812.07970 · arxiv_version: 1812.07970v1 · doi: 10.48550/arxiv.1812.07970 · pith_short_12: 6ZLDMXROB5EU · pith_short_16: 6ZLDMXROB5EUZZWL · pith_short_8: 6ZLDMXRO

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/6ZLDMXROB5EUZZWLKG2XN3B7JA \
  | 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: f656365e2e0f494ce6cb51b576ec3f48027247d2d8f6623646b9bedcaed5b5d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf1dcff9d649462ce56e9db03fd0720baed7b085dffe61865c8c276a413abbb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-12-19T14:24:33Z",
    "title_canon_sha256": "5c6da54d5bbdfb2ac6b0972d2868d0bcd7850bb5397084594fc31f3144b07706"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07970",
    "kind": "arxiv",
    "version": 1
  }
}