Pith Number

pith:FSTWF53H

pith:2024:FSTWF53HWQCO4WKHWFGM4IQKI7

not attested not anchored not stored refs pending

Distances between operators acting on different Hilbert spaces

Olaf Post, Sebastian Zimmer

arxiv:2412.13165 v2 · 2024-12-17 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FSTWF53HWQCO4WKHWFGM4IQKI7}

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	2026-07-05T10:02:08.673213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ca762f767b404ee5947b14cce220a47efef4e095877d9fd7e157a722f544ebc

Aliases

arxiv: 2412.13165 · arxiv_version: 2412.13165v2 · doi: 10.48550/arxiv.2412.13165 · pith_short_12: FSTWF53HWQCO · pith_short_16: FSTWF53HWQCO4WKH · pith_short_8: FSTWF53H

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/FSTWF53HWQCO4WKHWFGM4IQKI7 \
  | 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: 2ca762f767b404ee5947b14cce220a47efef4e095877d9fd7e157a722f544ebc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d4c430b34c06d16c92b3ccb0a3305ea004bbcbaec8d6381fcd08aad55264359",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2024-12-17T18:44:39Z",
    "title_canon_sha256": "05f2ed0dd4f73314d641647c3faea85c950644d6bfad23113fb7aaae5c5d2859"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.13165",
    "kind": "arxiv",
    "version": 2
  }
}