pith. sign in
Pith Number

pith:V7BZPPGG

pith:2010:V7BZPPGGHOQLMCTWHHOB5TTM5X
not attested not anchored not stored refs pending

-Generic Computability, Turing Reducibility and Asymptotic Density

Carl G. Jockusch Jr., Paul E. Schupp

arxiv:1010.5212 v1 · 2010-10-25 · math.GR · math.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{V7BZPPGGHOQLMCTWHHOB5TTM5X}

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 2026-05-18T02:58:01.625803Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

afc397bcc63ba0b60a7639dc1ece6cede9f449e302763b5e8d4740480b5beb89

Aliases

arxiv: 1010.5212 · arxiv_version: 1010.5212v1 · doi: 10.48550/arxiv.1010.5212 · pith_short_12: V7BZPPGGHOQL · pith_short_16: V7BZPPGGHOQLMCTW · pith_short_8: V7BZPPGG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/V7BZPPGGHOQLMCTWHHOB5TTM5X \
  | 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: afc397bcc63ba0b60a7639dc1ece6cede9f449e302763b5e8d4740480b5beb89
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "65bf264a6628cc87a4286d9a6eb3abdf47e3c5ba520d783fe675148ba87c0232",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-10-25T18:02:00Z",
    "title_canon_sha256": "05cdda38926b562a166cf85ab77f4a3a0e12aef0a3070372e3e04390cb4b45c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5212",
    "kind": "arxiv",
    "version": 1
  }
}