Pith Number

pith:VIAXUR46

pith:2016:VIAXUR46EADK7SIPLZFURAZIKC

not attested not anchored not stored refs pending

From observables and states to Hilbert space and back: a 2-categorical adjunction

Arthur J. Parzygnat

arxiv:1609.08975 v2 · 2016-09-28 · math-ph · math.CT · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VIAXUR46EADK7SIPLZFURAZIKC}

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	2026-05-18T00:20:17.740616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa017a479e2006afc90f5e4b488328509c5ea6423c156f5a99ffa263bee2e4f6

Aliases

arxiv: 1609.08975 · arxiv_version: 1609.08975v2 · doi: 10.48550/arxiv.1609.08975 · pith_short_12: VIAXUR46EADK · pith_short_16: VIAXUR46EADK7SIP · pith_short_8: VIAXUR46

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/VIAXUR46EADK7SIPLZFURAZIKC \
  | 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: aa017a479e2006afc90f5e4b488328509c5ea6423c156f5a99ffa263bee2e4f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38c4ade216dd4128f4b0650ebe3b605575e11f6a0d31748ae5bc61cf6310afa7",
    "cross_cats_sorted": [
      "math.CT",
      "math.MP",
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-09-28T15:55:15Z",
    "title_canon_sha256": "f39fd2be3a602c7c02b5c3519a08db7a3110f9388ff0c542f2680d30fade7fcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08975",
    "kind": "arxiv",
    "version": 2
  }
}