Pith Number

pith:PD44RP3I

pith:2017:PD44RP3I2FFHZKJ6Z6WMUDKSHP

not attested not anchored not stored refs pending

Operators invariant relative to a completely nonunitary contraction

D. Timotin, H. Bercovici

arxiv:1704.08984 v1 · 2017-04-28 · 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{PD44RP3I2FFHZKJ6Z6WMUDKSHP}

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	2026-05-18T00:45:24.754019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78f9c8bf68d14a7ca93ecfacca0d523bc2acdbeaeceab68a26735fe1737dfeb9

Aliases

arxiv: 1704.08984 · arxiv_version: 1704.08984v1 · doi: 10.48550/arxiv.1704.08984 · pith_short_12: PD44RP3I2FFH · pith_short_16: PD44RP3I2FFHZKJ6 · pith_short_8: PD44RP3I

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/PD44RP3I2FFHZKJ6Z6WMUDKSHP \
  | 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: 78f9c8bf68d14a7ca93ecfacca0d523bc2acdbeaeceab68a26735fe1737dfeb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1db2a2e94193a1c35bcc3fe935300c9f8ee61a5097a72b2b20102875172efc89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-04-28T15:41:22Z",
    "title_canon_sha256": "da068693590002655e0cb2f8d3997770bec00139849538b3ad3932615d74c82d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.08984",
    "kind": "arxiv",
    "version": 1
  }
}