Pith Number

pith:YFFQUPBI

pith:2016:YFFQUPBIZNKOXFQM7NMKKANHFS

not attested not anchored not stored refs pending

Permutations of the integers induce only the trivial automorphism of the Turing degrees

Bj{\o}rn Kjos-Hanssen

arxiv:1603.00525 v1 · 2016-03-02 · 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{YFFQUPBIZNKOXFQM7NMKKANHFS}

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	2026-05-18T01:19:43.531590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c14b0a3c28cb54eb960cfb58a501a72cacb5c18c03d7613153b434a67d89519b

Aliases

arxiv: 1603.00525 · arxiv_version: 1603.00525v1 · doi: 10.48550/arxiv.1603.00525 · pith_short_12: YFFQUPBIZNKO · pith_short_16: YFFQUPBIZNKOXFQM · pith_short_8: YFFQUPBI

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/YFFQUPBIZNKOXFQM7NMKKANHFS \
  | 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: c14b0a3c28cb54eb960cfb58a501a72cacb5c18c03d7613153b434a67d89519b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba14a92acb59f247fd965237c8352dc5e338072e6df3ef429aafb68b29e886f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-03-02T00:00:48Z",
    "title_canon_sha256": "a6a125bf5612b7ec8115fc960de85d92e61ea8107e9c0e709a3c82d2bd3c0aed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00525",
    "kind": "arxiv",
    "version": 1
  }
}