Pith Number

pith:D7IURTXM

pith:2010:D7IURTXMEEIUHAS4LAEFOEB27Y

not attested not anchored not stored refs pending

On the Relationship Between Complex Potentials and Strings of Projection Operators

J.J.Halliwell, J.M.Yearsley

arxiv:1006.4788 v3 · 2010-06-24 · 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{D7IURTXMEEIUHAS4LAEFOEB27Y}

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	2026-05-18T02:06:42.774600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fd148ceec211143825c580857103afe26b4487c151a8806f1be99eaaab7bf8e

Aliases

arxiv: 1006.4788 · arxiv_version: 1006.4788v3 · doi: 10.48550/arxiv.1006.4788 · pith_short_12: D7IURTXMEEIU · pith_short_16: D7IURTXMEEIUHAS4 · pith_short_8: D7IURTXM

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/D7IURTXMEEIUHAS4LAEFOEB27Y \
  | 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: 1fd148ceec211143825c580857103afe26b4487c151a8806f1be99eaaab7bf8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71957afc2717a046b1ccb82855d3e37248906844d74bd9fe6209bafdf5a726a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-06-24T13:27:51Z",
    "title_canon_sha256": "395d3773a910863ff8b39e6bc78556c97680c40d2d7582316c5598e5bc44a703"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4788",
    "kind": "arxiv",
    "version": 3
  }
}