Pith Number

pith:JNRJBDMK

pith:2011:JNRJBDMKT2PSFCRFJ272ZUARRL

not attested not anchored not stored refs pending

Algorithmic constructions of unitary matrices and tight frames

Janet C. Tremain

arxiv:1104.4539 v1 · 2011-04-23 · 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{JNRJBDMKT2PSFCRFJ272ZUARRL}

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	2026-05-18T04:23:33.902575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b62908d8a9e9f228a254ebfacd0118ad0c45c092f88632c7bd5a6cedb4a9d94

Aliases

arxiv: 1104.4539 · arxiv_version: 1104.4539v1 · doi: 10.48550/arxiv.1104.4539 · pith_short_12: JNRJBDMKT2PS · pith_short_16: JNRJBDMKT2PSFCRF · pith_short_8: JNRJBDMK

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/JNRJBDMKT2PSFCRFJ272ZUARRL \
  | 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: 4b62908d8a9e9f228a254ebfacd0118ad0c45c092f88632c7bd5a6cedb4a9d94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "773159f07e451382ed8f71d33b06d3da661cd7d7f8d09782722d32fc10b9794a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-04-23T08:59:54Z",
    "title_canon_sha256": "3bf34d71278be35090eff481ded22b06f608732e0812f7e38257374985b85adc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4539",
    "kind": "arxiv",
    "version": 1
  }
}