Pith Number

pith:AFV256WE

pith:2006:AFV256WETFA7ICZN2573DUJHOA

not attested not anchored not stored refs pending

Field-theoretical space-time position operator of the Dirac electron

Bing He, Cai-Dong Xiong, Zhi-yong Wang

arxiv:quant-ph/0610155 v4 · 2006-10-19 · 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{AFV256WETFA7ICZN2573DUJHOA}

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	2026-05-18T04:31:50.694108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

016baefac49941f40b2dd77fb1d12770026fe37b86faf131b80dbaae0597fe9d

Aliases

arxiv: quant-ph/0610155 · arxiv_version: quant-ph/0610155v4 · doi: 10.48550/arxiv.quant-ph/0610155 · pith_short_12: AFV256WETFA7 · pith_short_16: AFV256WETFA7ICZN · pith_short_8: AFV256WE

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/AFV256WETFA7ICZN2573DUJHOA \
  | 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: 016baefac49941f40b2dd77fb1d12770026fe37b86faf131b80dbaae0597fe9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "190ffbf009280c84b06508299b93869c401a814c5d0f14b84672064f030c529b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-10-19T05:34:03Z",
    "title_canon_sha256": "5bd8f69fe4d8b84ff93a845c19c2451182d2c8249c8d82ed22eeb9a846b3ef72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0610155",
    "kind": "arxiv",
    "version": 4
  }
}