pith. sign in
Pith Number

pith:42Z3WOA3

pith:2013:42Z3WOA37JNEYON2C4W55MEUUW
not attested not anchored not stored refs pending

AW(k)-Type Curves According to the Bishop Frame

G\"unay \"Ozt\"urk, \.Ilim Ki\c{s}i

arxiv:1305.3381 v1 · 2013-05-15 · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{42Z3WOA37JNEYON2C4W55MEUUW}

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 2026-05-18T03:25:35.984998Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e6b3bb381bfa5a4c39ba172ddeb094a58f120402f02b85a83333c8cb691b99d9

Aliases

arxiv: 1305.3381 · arxiv_version: 1305.3381v1 · doi: 10.48550/arxiv.1305.3381 · pith_short_12: 42Z3WOA37JNE · pith_short_16: 42Z3WOA37JNEYON2 · pith_short_8: 42Z3WOA3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/42Z3WOA37JNEYON2C4W55MEUUW \
  | 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: e6b3bb381bfa5a4c39ba172ddeb094a58f120402f02b85a83333c8cb691b99d9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "61dd11f953803c67630036d8d259da0eb80a88e8b13a72aa39e20cd99537a9f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-05-15T07:46:22Z",
    "title_canon_sha256": "fba67172c41d0fda0ac04031b2cae417d392256d49cf6eb8d5941f85ef87d782"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3381",
    "kind": "arxiv",
    "version": 1
  }
}