Pith Number

pith:UQBMLX5N

pith:2011:UQBMLX5NTGFYENCS23NVSVBYUO

not attested not anchored not stored refs pending

Characterizing the strongly jump-traceable sets via randomness

Andre Nies, Denis Hirschfeldt, Noam Greenberg

arxiv:1109.6749 v1 · 2011-09-30 · 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{UQBMLX5NTGFYENCS23NVSVBYUO}

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	2026-05-18T04:11:52.555500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a402c5dfad998b823452d6db595438a3989a479925b229929c7267d49c47de2f

Aliases

arxiv: 1109.6749 · arxiv_version: 1109.6749v1 · doi: 10.48550/arxiv.1109.6749 · pith_short_12: UQBMLX5NTGFY · pith_short_16: UQBMLX5NTGFYENCS · pith_short_8: UQBMLX5N

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/UQBMLX5NTGFYENCS23NVSVBYUO \
  | 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: a402c5dfad998b823452d6db595438a3989a479925b229929c7267d49c47de2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d7c24ece2fa7ab52a4ecc474e664d76535379c0b7626e309e1742f1177bd9c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-09-30T08:34:31Z",
    "title_canon_sha256": "be53897732d560113ec5a80650430be232903d7f4e59ac03c69bc24a64b5b580"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6749",
    "kind": "arxiv",
    "version": 1
  }
}