Pith Number

pith:TIF7KBA2

pith:2010:TIF7KBA2MHNMXYEAIKAEZOSSMX

not attested not anchored not stored refs pending

Negative Power Spectra in Quantum Field Theory

Chun-Hsien Wu, Jen-Tsung Hsiang, L. H. Ford

arxiv:1012.3226 v1 · 2010-12-15 · quant-ph · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIF7KBA2MHNMXYEAIKAEZOSSMX}

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	2026-05-18T02:04:24.624392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a0bf5041a61dacbe08042804cba5265c68ad7523998002491f86dde73c9505a

Aliases

arxiv: 1012.3226 · arxiv_version: 1012.3226v1 · doi: 10.48550/arxiv.1012.3226 · pith_short_12: TIF7KBA2MHNM · pith_short_16: TIF7KBA2MHNMXYEA · pith_short_8: TIF7KBA2

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/TIF7KBA2MHNMXYEAIKAEZOSSMX \
  | 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: 9a0bf5041a61dacbe08042804cba5265c68ad7523998002491f86dde73c9505a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "450602516c5d20c2ea38dc10b2895b5754ba420416e595094953021a8689ebba",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-12-15T04:08:35Z",
    "title_canon_sha256": "4ebac10f961107b435980f2d4d9847be8cb3f9a0eae0e309f4e66695203695e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3226",
    "kind": "arxiv",
    "version": 1
  }
}