Pith Number

pith:VNQMVNCJ

pith:2015:VNQMVNCJNZ3YPFAP4Q4AYQ3PS4

not attested not anchored not stored refs pending

Photon propagation in noncommutative QED with constant external field

A.E. Shabad, D.M. Gitman, R. Fresneda

arxiv:1501.04987 v1 · 2015-01-20 · 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{VNQMVNCJNZ3YPFAP4Q4AYQ3PS4}

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	2026-05-18T02:19:35.688776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab60cab4496e7787940fe4380c436f973752de0262246bce3e939f0f62dc053f

Aliases

arxiv: 1501.04987 · arxiv_version: 1501.04987v1 · doi: 10.48550/arxiv.1501.04987 · pith_short_12: VNQMVNCJNZ3Y · pith_short_16: VNQMVNCJNZ3YPFAP · pith_short_8: VNQMVNCJ

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/VNQMVNCJNZ3YPFAP4Q4AYQ3PS4 \
  | 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: ab60cab4496e7787940fe4380c436f973752de0262246bce3e939f0f62dc053f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cbc2c9f732aa6e418a4cdf430af82eed704a53e81dce42ed442b3dc490124fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-01-20T21:37:29Z",
    "title_canon_sha256": "aca20a34e4d46602291340f728bb023a8ffd5818410a1d73d592ec9c4bc3e644"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04987",
    "kind": "arxiv",
    "version": 1
  }
}