pith. sign in
Pith Number

pith:YOPN2TTB

pith:2015:YOPN2TTBZ3JL6C6CVESEV5RU76
not attested not anchored not stored refs pending

Weaving Frames

Karlheinz Gr\"ochenig, Mark C. Lammers, Peter G. Casazza, Richard G. Lynch, Travis Bemrose

arxiv:1503.03947 v1 · 2015-03-13 · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YOPN2TTBZ3JL6C6CVESEV5RU76}

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 2026-05-18T02:23:57.651836Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c39edd4e61ced2bf0bc2a9244af634ffba5f6eeff0c250caaa54cd5d56925ec1

Aliases

arxiv: 1503.03947 · arxiv_version: 1503.03947v1 · doi: 10.48550/arxiv.1503.03947 · pith_short_12: YOPN2TTBZ3JL · pith_short_16: YOPN2TTBZ3JL6C6C · pith_short_8: YOPN2TTB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YOPN2TTBZ3JL6C6CVESEV5RU76 \
  | 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: c39edd4e61ced2bf0bc2a9244af634ffba5f6eeff0c250caaa54cd5d56925ec1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "49f5398fd48d1c44d4ad4e3c4970619e186eb6c37b2fb5e5af6c949b460f6f91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-03-13T03:59:43Z",
    "title_canon_sha256": "eb2e9e51628cf260a3a755b459e55526fbc4aba6b7c657c37b250725703afac5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03947",
    "kind": "arxiv",
    "version": 1
  }
}