Pith Number

pith:GHBZXY2J

pith:2024:GHBZXY2JTBSYESOMYL2L2UV4MM

not attested not anchored not stored refs pending

$C^*$-extreme contractive completely positive maps

Anand O. R, K. Sumesh

arxiv:2412.05008 v3 · 2024-12-06 · math.OA · 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{GHBZXY2JTBSYESOMYL2L2UV4MM}

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	2026-07-05T11:08:14.100598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31c39be34998658249ccc2f4bd52bc632369b6be3014f3c035b5dec6ce3957ec

Aliases

arxiv: 2412.05008 · arxiv_version: 2412.05008v3 · doi: 10.48550/arxiv.2412.05008 · pith_short_12: GHBZXY2JTBSY · pith_short_16: GHBZXY2JTBSYESOM · pith_short_8: GHBZXY2J

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/GHBZXY2JTBSYESOMYL2L2UV4MM \
  | 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: 31c39be34998658249ccc2f4bd52bc632369b6be3014f3c035b5dec6ce3957ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f523d9b6c7df2c07ded1814af137f55c3b9466448da427a4942e02c730258269",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2024-12-06T13:01:35Z",
    "title_canon_sha256": "ac474c472ddba1a1069f51c77a0cc860bea25f71426120801ebf33272b0e3b25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.05008",
    "kind": "arxiv",
    "version": 3
  }
}