Pith Number

pith:F3X3Q2OA

pith:2020:F3X3Q2OALKFZ5FAOVKG6WZEZPX

not attested not anchored not stored refs pending

Photon propagation in non-trivial backgrounds

Palash B. Pal

arxiv:2005.09376 v2 · 2020-05-19 · 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{F3X3Q2OALKFZ5FAOVKG6WZEZPX}

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	2026-07-05T01:26:15.506607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2eefb869c05a8b9e940eaa8deb64997debbb34e661f5fa1e32daa15c81e72b8c

Aliases

arxiv: 2005.09376 · arxiv_version: 2005.09376v2 · doi: 10.48550/arxiv.2005.09376 · pith_short_12: F3X3Q2OALKFZ · pith_short_16: F3X3Q2OALKFZ5FAO · pith_short_8: F3X3Q2OA

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/F3X3Q2OALKFZ5FAOVKG6WZEZPX \
  | 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: 2eefb869c05a8b9e940eaa8deb64997debbb34e661f5fa1e32daa15c81e72b8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efcf0c29d626ebb1018b309597292cc24f5d7935b1fe5b90d244ee943255c1fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2020-05-19T11:51:53Z",
    "title_canon_sha256": "838e7f4d09b656eec8dab2f02dc828c20a7b3551f7b6bd931d2ac2f5094253d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.09376",
    "kind": "arxiv",
    "version": 2
  }
}