Pith Number

pith:AE4Q7OK2

pith:2001:AE4Q7OK2HLDYFIXG2PYCOOEA7H

not attested not anchored not stored refs pending

Vacuum polarization on the spinning circle

E. S. Moreira, Jr. (UNIFEI-Itajuba'), V. A. De Lorenci

arxiv:gr-qc/0112055 v2 · 2001-12-20 · gr-qc · 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{AE4Q7OK2HLDYFIXG2PYCOOEA7H}

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	2026-05-18T03:47:41.821217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01390fb95a3ac782a2e6d3f0273880f9de11ac5c53729d4b31007d9a5662dd1e

Aliases

arxiv: gr-qc/0112055 · arxiv_version: gr-qc/0112055v2 · doi: 10.48550/arxiv.gr-qc/0112055 · pith_short_12: AE4Q7OK2HLDY · pith_short_16: AE4Q7OK2HLDYFIXG · pith_short_8: AE4Q7OK2

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/AE4Q7OK2HLDYFIXG2PYCOOEA7H \
  | 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: 01390fb95a3ac782a2e6d3f0273880f9de11ac5c53729d4b31007d9a5662dd1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60321081dbe2b2fb03226f3eea991942e798512292938b8b2e0fed7f33ffde73",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-12-20T21:47:09Z",
    "title_canon_sha256": "9ac6f146e3c9e58104fd8c62f1d6b3080f2cb79decb2eefb50faa861ec1126dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0112055",
    "kind": "arxiv",
    "version": 2
  }
}