Pith Number

pith:XRHZWIOV

pith:2007:XRHZWIOVZJOE665GJIS7KIA63H

not attested not anchored not stored refs pending

Improved dispersion relations for \gamma\gamma\to \pi^0\pi^0

Carlos Schat, Jose A. Oller, Luis Roca

arxiv:0708.1659 v2 · 2007-08-13 · 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{XRHZWIOVZJOE665GJIS7KIA63H}

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	2026-07-04T15:28:30.057637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc4f9b21d5ca5c4f7ba64a25f5201ed9dc92df5b6efd1b99d43cd67a2e8af294

Aliases

arxiv: 0708.1659 · arxiv_version: 0708.1659v2 · doi: 10.48550/arxiv.0708.1659 · pith_short_12: XRHZWIOVZJOE · pith_short_16: XRHZWIOVZJOE665G · pith_short_8: XRHZWIOV

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/XRHZWIOVZJOE665GJIS7KIA63H \
  | 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: bc4f9b21d5ca5c4f7ba64a25f5201ed9dc92df5b6efd1b99d43cd67a2e8af294

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6777c75d8b0e1ade7a21f52e0c5fc77e783e5b3b898f56882733dbd05ef78da2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2007-08-13T08:37:35Z",
    "title_canon_sha256": "6fc3d28d74324c55df18e629b749cdd0b15ad1055ad0f3c7f8cc9e8bff86e0a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.1659",
    "kind": "arxiv",
    "version": 2
  }
}