Pith Number

pith:ZTFNI4UA

pith:2009:ZTFNI4UAHIEBADCMAD7U2RCP7J

not attested not anchored not stored refs pending

Spectral representation of infimum of bounded quantum observables

Shen Jun, Wu Junde

arxiv:0906.1028 v1 · 2009-06-05 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZTFNI4UAHIEBADCMAD7U2RCP7J}

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	2026-05-18T01:03:54.012298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cccad472803a08100c4c00ff4d444ffa4e9846a4a5d1a8e24b78eac0dd81463d

Aliases

arxiv: 0906.1028 · arxiv_version: 0906.1028v1 · doi: 10.48550/arxiv.0906.1028 · pith_short_12: ZTFNI4UAHIEB · pith_short_16: ZTFNI4UAHIEBADCM · pith_short_8: ZTFNI4UA

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/ZTFNI4UAHIEBADCMAD7U2RCP7J \
  | 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: cccad472803a08100c4c00ff4d444ffa4e9846a4a5d1a8e24b78eac0dd81463d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d6480b38f50e79ce89dbfe2d202e090935c36319a90bc9431d4861de2e936f9",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-06-05T02:03:19Z",
    "title_canon_sha256": "009ca45036df4a7f129bbbaaa52ac6698f020fb85b394061c28b66041508caf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1028",
    "kind": "arxiv",
    "version": 1
  }
}