Pith Number

pith:4QKEJDAS

pith:2013:4QKEJDASVH5ML4YR3VOE5KE72U

not attested not anchored not stored refs pending

Some recent research directions in the computably enumerable sets

Peter Cholak

arxiv:1312.5979 v1 · 2013-12-20 · 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{4QKEJDASVH5ML4YR3VOE5KE72U}

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	2026-05-18T03:04:07.407387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e414448c12a9fac5f311dd5c4ea89fd513d1665a1c0983b7054effe3e07db68a

Aliases

arxiv: 1312.5979 · arxiv_version: 1312.5979v1 · doi: 10.48550/arxiv.1312.5979 · pith_short_12: 4QKEJDASVH5M · pith_short_16: 4QKEJDASVH5ML4YR · pith_short_8: 4QKEJDAS

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/4QKEJDASVH5ML4YR3VOE5KE72U \
  | 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: e414448c12a9fac5f311dd5c4ea89fd513d1665a1c0983b7054effe3e07db68a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e0198c3127820dda597ebb4721a7a9dff4b320c9939a09a7b2c406f3c7efee3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-12-20T15:06:33Z",
    "title_canon_sha256": "06eeeac2d3eb1c21cf4572b6b42d54a0c7782609b5b4367fc6a51e020abbb2d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5979",
    "kind": "arxiv",
    "version": 1
  }
}