pith. sign in
Pith Number

pith:SFK7KNUP

pith:2014:SFK7KNUPDM53U3YQEPUJZMY7GL
not attested not anchored not stored refs pending

On the variable hierarchy of first-order spectra

Eryk Kopczynski, Tony Tan

arxiv:1403.2225 v3 · 2014-03-10 · cs.LO · cs.CC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SFK7KNUPDM53U3YQEPUJZMY7GL}

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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 2026-05-18T02:27:18.840123Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9155f5368f1b3bba6f1023e89cb31f32c9d1a0a758c3a0da5cdde136aba0fc1a

Aliases

arxiv: 1403.2225 · arxiv_version: 1403.2225v3 · doi: 10.48550/arxiv.1403.2225 · pith_short_12: SFK7KNUPDM53 · pith_short_16: SFK7KNUPDM53U3YQ · pith_short_8: SFK7KNUP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SFK7KNUPDM53U3YQEPUJZMY7GL \
  | 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: 9155f5368f1b3bba6f1023e89cb31f32c9d1a0a758c3a0da5cdde136aba0fc1a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fdef6933f6b46eceaa430ed63abade23beda542b71bf78dcfd13579ec8a50a20",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2014-03-10T12:27:12Z",
    "title_canon_sha256": "541affdd79c852ef8a99ecf1e1921368cd3f96513a707eddeeb9908accf99d7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2225",
    "kind": "arxiv",
    "version": 3
  }
}