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Pith Number

pith:OIOF74UW

pith:2014:OIOF74UW2X3L6MVD5CNWIUOHY5
not attested not anchored not stored refs pending

Smooth models of motivic spheres

Aravind Asok, Brent Doran, Jean Fasel

arxiv:1408.0413 v3 · 2014-08-02 · math.KT · math.AG · math.AT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OIOF74UW2X3L6MVD5CNWIUOHY5}

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 2026-05-18T01:25:55.769146Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

721c5ff296d5f6bf32a3e89b6451c7c7681165577c8527f861cf5f07cbb0c455

Aliases

arxiv: 1408.0413 · arxiv_version: 1408.0413v3 · doi: 10.48550/arxiv.1408.0413 · pith_short_12: OIOF74UW2X3L · pith_short_16: OIOF74UW2X3L6MVD · pith_short_8: OIOF74UW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OIOF74UW2X3L6MVD5CNWIUOHY5 \
  | 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: 721c5ff296d5f6bf32a3e89b6451c7c7681165577c8527f861cf5f07cbb0c455
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ea732220ad3804f748e8034fcdef11517218d677481818242f8f0d5e5b5dbdde",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2014-08-02T20:19:55Z",
    "title_canon_sha256": "4d9dd102b42039727b7222fd09433f1040f5c2e212fa0bb8be77ada175dd9780"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0413",
    "kind": "arxiv",
    "version": 3
  }
}