Pith. sign in
Pith Number

pith:AFE6QOET

pith:2015:AFE6QOETFN522MYRQZNVO6AMRP
not attested not anchored not stored refs pending

Persistent Homology and String Vacua

Michele Cirafici

arxiv:1512.01170 v1 · 2015-12-03 · hep-th · math-ph · math.AT · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AFE6QOETFN522MYRQZNVO6AMRP}

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 2026-05-18T01:16:45.044934Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0149e838932b7bad3311865b57780c8bd0e2af0585e89224a6050f91832ab84f

Aliases

arxiv: 1512.01170 · arxiv_version: 1512.01170v1 · doi: 10.48550/arxiv.1512.01170 · pith_short_12: AFE6QOETFN52 · pith_short_16: AFE6QOETFN522MYR · pith_short_8: AFE6QOET
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AFE6QOETFN522MYRQZNVO6AMRP \
  | 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: 0149e838932b7bad3311865b57780c8bd0e2af0585e89224a6050f91832ab84f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9af93a10583276305f04ae670e69aad48a16b24697b89ded88832412596f09bb",
    "cross_cats_sorted": [
      "math-ph",
      "math.AT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-12-03T17:35:26Z",
    "title_canon_sha256": "a3ee314591bb4b04c228d45ac4e0e2c2fa338654dae3e58137a907ee89bd7f92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01170",
    "kind": "arxiv",
    "version": 1
  }
}