Pith Number

pith:NNUDCDKQ

pith:2010:NNUDCDKQCDEL4PKAYTH6DB4LMH

not attested not anchored not stored refs pending

Symmetries and time operators

G. C. Hegerfeldt, J. G. Muga

arxiv:1008.4731 v1 · 2010-08-27 · 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{NNUDCDKQCDEL4PKAYTH6DB4LMH}

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	2026-05-18T02:05:41.980345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b68310d5010c8be3d40c4cfe1878b61ccba5029d623d2296ac1821ecffecbd2

Aliases

arxiv: 1008.4731 · arxiv_version: 1008.4731v1 · doi: 10.48550/arxiv.1008.4731 · pith_short_12: NNUDCDKQCDEL · pith_short_16: NNUDCDKQCDEL4PKA · pith_short_8: NNUDCDKQ

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/NNUDCDKQCDEL4PKAYTH6DB4LMH \
  | 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: 6b68310d5010c8be3d40c4cfe1878b61ccba5029d623d2296ac1821ecffecbd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20b274ee9f8bca9da8c56d839143bfb49cfbf3e2966097d50b821cc5ffee35e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-08-27T14:24:34Z",
    "title_canon_sha256": "3bdc4d423b3e2564acf964fb0411f84bf667354aa45b915b3d3f833312b8f88b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4731",
    "kind": "arxiv",
    "version": 1
  }
}