Pith Number

pith:ITXPEUHU

pith:2016:ITXPEUHUOEQYQVLUDD2O3A7CFJ

not attested not anchored not stored refs pending

The CMV bispectral problem

F.A. Gr\"unbaum, L. Vel\'azquez

arxiv:1607.01962 v2 · 2016-07-07 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITXPEUHUOEQYQVLUDD2O3A7CFJ}

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	2026-05-18T01:06:20.473179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44eef250f4712188557418f4ed83e22a58829c794c17fea873677548fbb6f917

Aliases

arxiv: 1607.01962 · arxiv_version: 1607.01962v2 · doi: 10.48550/arxiv.1607.01962 · pith_short_12: ITXPEUHUOEQY · pith_short_16: ITXPEUHUOEQYQVLU · pith_short_8: ITXPEUHU

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/ITXPEUHUOEQYQVLUDD2O3A7CFJ \
  | 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: 44eef250f4712188557418f4ed83e22a58829c794c17fea873677548fbb6f917

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cf3eb077f82674a6945f0166f145bbd56a1013e51f4df7c5be2366af82168b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-07-07T11:22:51Z",
    "title_canon_sha256": "694504cb13fb3997cdbcf09f50682e99254e271b860d2d371c267a6d8185f30a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01962",
    "kind": "arxiv",
    "version": 2
  }
}