Pith Number

pith:THEOTKZD

pith:2013:THEOTKZD34CXSC3BVYFDBX7SID

not attested not anchored not stored refs pending

Diagram vectors and Tight Frame Scaling in Finite Dimensions

Cortney Logan, Jonathan Sheperd, Kyanne Mayfield, Martin S. Copenhaver, Matthew J. Petro, Sivaram K. Narayan, Yeon Hyang Kim

arxiv:1303.1159 v1 · 2013-03-05 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{THEOTKZD34CXSC3BVYFDBX7SID}

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	2026-05-18T03:31:45.488525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99c8e9ab23df05790b61ae0a30dff240e7e0b44f896af060ccc5ec75402c526d

Aliases

arxiv: 1303.1159 · arxiv_version: 1303.1159v1 · doi: 10.48550/arxiv.1303.1159 · pith_short_12: THEOTKZD34CX · pith_short_16: THEOTKZD34CXSC3B · pith_short_8: THEOTKZD

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/THEOTKZD34CXSC3BVYFDBX7SID \
  | 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: 99c8e9ab23df05790b61ae0a30dff240e7e0b44f896af060ccc5ec75402c526d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4443f78f99ce4440f75d1f198aa3d790a2afe9c878ad69439d623c687f3b9932",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-03-05T20:15:37Z",
    "title_canon_sha256": "65b4735f96cd9602d6fa1e3cac9500e208a63f4f0def3752394be638e6a2c44c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1159",
    "kind": "arxiv",
    "version": 1
  }
}