Pith Number

pith:ANYJUHCG

pith:2017:ANYJUHCGIN76W4PJFYJQ4ATSGO

not attested not anchored not stored refs pending

Constructions of biangular tight frames and their relationships with equiangular tight frames

Jameson Cahill, Janet Tremain, John I. Haas, Peter G. Casazza

arxiv:1703.01786 v2 · 2017-03-06 · math.FA · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ANYJUHCGIN76W4PJFYJQ4ATSGO}

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	2026-05-18T00:48:36.634400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03709a1c46437feb71e92e130e027233b845ce239b9c7abcd17a9e251fa67cba

Aliases

arxiv: 1703.01786 · arxiv_version: 1703.01786v2 · doi: 10.48550/arxiv.1703.01786 · pith_short_12: ANYJUHCGIN76 · pith_short_16: ANYJUHCGIN76W4PJ · pith_short_8: ANYJUHCG

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/ANYJUHCGIN76W4PJFYJQ4ATSGO \
  | 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: 03709a1c46437feb71e92e130e027233b845ce239b9c7abcd17a9e251fa67cba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e4862961a27d6456f9337edfb776ca85c43f4a6dfd3f680afd1ac5498caa177",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-03-06T09:44:33Z",
    "title_canon_sha256": "6b44a7b7560e113bd359da50303ef0ce47e62d8064583f681ceabe5bb047e421"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01786",
    "kind": "arxiv",
    "version": 2
  }
}