Pith. sign in
Pith Number

pith:OUS57U4Q

pith:2019:OUS57U4QGRCO65YFF6LS7STRBC
not attested not anchored not stored refs pending

Contractions of subcurves of families of log curves

Sebastian Bozlee

arxiv:1908.09733 v3 · 2019-08-26 · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OUS57U4QGRCO65YFF6LS7STRBC}

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 2026-07-05T02:07:26.195122Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7525dfd3903444ef77052f972fca7108ae9307c9baa84541cb6bb6237501e3eb

Aliases

arxiv: 1908.09733 · arxiv_version: 1908.09733v3 · doi: 10.48550/arxiv.1908.09733 · pith_short_12: OUS57U4QGRCO · pith_short_16: OUS57U4QGRCO65YF · pith_short_8: OUS57U4Q
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OUS57U4QGRCO65YFF6LS7STRBC \
  | 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: 7525dfd3903444ef77052f972fca7108ae9307c9baa84541cb6bb6237501e3eb
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f3d8596c68280af7ffd477431c63db7bc18727b0941f124e919a225e078832d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-08-26T15:26:40Z",
    "title_canon_sha256": "64f260a4b95193bd034be36ad45695f8b0702839d1bf6cf2c53f2754ca3364a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09733",
    "kind": "arxiv",
    "version": 3
  }
}