Pith Number

pith:O7EOVLKF

pith:2016:O7EOVLKFGJFFLLPV7KNUCF3XUJ

not attested not anchored not stored refs pending

Metric versus observable operator representation, higher spin models

Andreas Fring, Thomas Frith

arxiv:1612.06122 v1 · 2016-12-19 · quant-ph · 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{O7EOVLKFGJFFLLPV7KNUCF3XUJ}

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	2026-05-18T00:23:17.155510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77c8eaad45324a55adf5fa9b411777a2748018ed72c8a4829e805cb899efffcd

Aliases

arxiv: 1612.06122 · arxiv_version: 1612.06122v1 · doi: 10.48550/arxiv.1612.06122 · pith_short_12: O7EOVLKFGJFF · pith_short_16: O7EOVLKFGJFFLLPV · pith_short_8: O7EOVLKF

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/O7EOVLKFGJFFLLPV7KNUCF3XUJ \
  | 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: 77c8eaad45324a55adf5fa9b411777a2748018ed72c8a4829e805cb899efffcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b880f8ca862fd398d3238e108fec3527265e971833bdc4e564d0e6fd59bb742",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-12-19T11:08:15Z",
    "title_canon_sha256": "8d7b76f5d578a5769167f13dc77d5b5d25012117994b219b8e18d63781094e08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06122",
    "kind": "arxiv",
    "version": 1
  }
}