Pith Number

pith:ON5ALOK5

pith:2000:ON5ALOK5D6QYDIWNOXVBBAFNFU

not attested not anchored not stored refs pending

Consequences of 't Hooft's Equivalence Class Theory and Symmetry by Large Coarse Graining

C.P.Sun, X.F.Liu

arxiv:hep-th/0007006 v1 · 2000-07-01 · hep-th · 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{ON5ALOK5D6QYDIWNOXVBBAFNFU}

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	2026-05-18T01:38:55.399817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

737a05b95d1fa181a2cd75ea1080ad2d0e8d367609a0117db23292bab0b3cf04

Aliases

arxiv: hep-th/0007006 · arxiv_version: hep-th/0007006v1 · doi: 10.48550/arxiv.hep-th/0007006 · pith_short_12: ON5ALOK5D6QY · pith_short_16: ON5ALOK5D6QYDIWN · pith_short_8: ON5ALOK5

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/ON5ALOK5D6QYDIWNOXVBBAFNFU \
  | 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: 737a05b95d1fa181a2cd75ea1080ad2d0e8d367609a0117db23292bab0b3cf04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96c664fd3338c7731a7eac4ea4aaee43d061ad4e2dc2f2855df8aa1a6328cfd7",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-07-01T23:50:05Z",
    "title_canon_sha256": "8f47c5f9d556656978edf9d3c346d140f8c4c3a871efc6dea8ed5bc0f7503941"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0007006",
    "kind": "arxiv",
    "version": 1
  }
}