Pith Number

pith:3N5SKOVG

pith:2018:3N5SKOVG7KOEB4NLLNNXGJIUQE

not attested not anchored not stored refs pending

Photon dispersion relations in $A_0$-background

M.Bordag, V.Skalozub

arxiv:1809.08117 v1 · 2018-09-21 · hep-ph · 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{3N5SKOVG7KOEB4NLLNNXGJIUQE}

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	2026-05-18T00:05:10.323357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db7b253aa6fa9c40f1ab5b5b732514812239bd4c7b16903a0602b9df97e3bff5

Aliases

arxiv: 1809.08117 · arxiv_version: 1809.08117v1 · doi: 10.48550/arxiv.1809.08117 · pith_short_12: 3N5SKOVG7KOE · pith_short_16: 3N5SKOVG7KOEB4NL · pith_short_8: 3N5SKOVG

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/3N5SKOVG7KOEB4NLLNNXGJIUQE \
  | 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: db7b253aa6fa9c40f1ab5b5b732514812239bd4c7b16903a0602b9df97e3bff5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "737985baafb575fbd7f4ea3162d030bb6d508b9b2d0f74c9a9fc026c34fb2c6b",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-09-21T13:46:55Z",
    "title_canon_sha256": "3871a007a3c763235a609d0f0799eb7c3e1fe457e1f2ed59aab4b26d9ca49a09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08117",
    "kind": "arxiv",
    "version": 1
  }
}