Pith Number

pith:FCBNXD7Z

pith:2012:FCBNXD7ZHARHNR6TFEUUJBHG7O

not attested not anchored not stored refs pending

Relating Operator Spaces via Adjunctions

Bart Jacobs, Jorik Mandemaker

arxiv:1201.1272 v2 · 2012-01-05 · cs.LO · math.CT · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCBNXD7ZHARHNR6TFEUUJBHG7O}

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	2026-05-18T03:50:50.333655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2882db8ff9382276c7d329294484e6fba5b18f6ab5c627662e47fe32a4491e3a

Aliases

arxiv: 1201.1272 · arxiv_version: 1201.1272v2 · doi: 10.48550/arxiv.1201.1272 · pith_short_12: FCBNXD7ZHARH · pith_short_16: FCBNXD7ZHARHNR6T · pith_short_8: FCBNXD7Z

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/FCBNXD7ZHARHNR6TFEUUJBHG7O \
  | 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: 2882db8ff9382276c7d329294484e6fba5b18f6ab5c627662e47fe32a4491e3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea84e21d2b52a5efe34aeea14edde4cb1297647283a7cbd03728811fa7e1c953",
    "cross_cats_sorted": [
      "math.CT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2012-01-05T19:47:17Z",
    "title_canon_sha256": "d264c79a68bcc85f6b15391d40b3c6aa398aec04f2565f625999fc62d248300f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1272",
    "kind": "arxiv",
    "version": 2
  }
}