Pith Number

pith:WC72YAXX

pith:2009:WC72YAXXCRBCPWKW3TGV6H353J

not attested not anchored not stored refs pending

Laser intensity effects in noncommutative QED

Anton Ilderton, Mattias Marklund, Thomas Heinzl

arxiv:0909.0656 v2 · 2009-09-03 · hep-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{WC72YAXXCRBCPWKW3TGV6H353J}

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	2026-07-04T17:26:17.413088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0bfac02f7144227d956dccd5f1f7dda7f38a53cdd50e54902d1af3afff07d00

Aliases

arxiv: 0909.0656 · arxiv_version: 0909.0656v2 · doi: 10.48550/arxiv.0909.0656 · pith_short_12: WC72YAXXCRBC · pith_short_16: WC72YAXXCRBCPWKW · pith_short_8: WC72YAXX

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/WC72YAXXCRBCPWKW3TGV6H353J \
  | 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: b0bfac02f7144227d956dccd5f1f7dda7f38a53cdd50e54902d1af3afff07d00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d9e1f83f4775ad495d0ece29354db0ed7f417da87a85e54a09bae814908b606",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2009-09-03T14:15:06Z",
    "title_canon_sha256": "5d9f0c6cef9564b0e00e3db6ce44c87eeff88b7334ce1ed6e6dc798d58a86722"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0656",
    "kind": "arxiv",
    "version": 2
  }
}