Pith Number

pith:AOPI7UDG

pith:2015:AOPI7UDGUXX6PMMDOXC5W7JM5W

not attested not anchored not stored refs pending

Three-photon-annihilation contributions to positronium energies at order $m \alpha^7$

Christian Parsons, Gregory S. Adkins, MinJi Kim, Richard N. Fell

arxiv:1507.07841 v1 · 2015-07-28 · 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{AOPI7UDGUXX6PMMDOXC5W7JM5W}

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	2026-05-18T01:22:37.548229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

039e8fd066a5efe7b18375c5db7d2ced8295935d92c48a017fb3305ab35bd534

Aliases

arxiv: 1507.07841 · arxiv_version: 1507.07841v1 · doi: 10.48550/arxiv.1507.07841 · pith_short_12: AOPI7UDGUXX6 · pith_short_16: AOPI7UDGUXX6PMMD · pith_short_8: AOPI7UDG

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/AOPI7UDGUXX6PMMDOXC5W7JM5W \
  | 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: 039e8fd066a5efe7b18375c5db7d2ced8295935d92c48a017fb3305ab35bd534

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bf9b543c1158e337720e34f8269e1021777e09e58f27613ec72419440e57f4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-07-28T16:42:07Z",
    "title_canon_sha256": "6b66d447f6094d04c51d13e97b344d2f4379398c5aa74d29c5e6e4c0ce336e33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07841",
    "kind": "arxiv",
    "version": 1
  }
}