Pith Number

pith:XF6FHS7D

pith:2011:XF6FHS7DBCPWHSWH4AAZHFPM4B

not attested not anchored not stored refs pending

Photon propagation in a cold axion background with and without magnetic field

Albert Renau, Domenec Espriu

arxiv:1106.1662 v3 · 2011-06-08 · hep-ph · astro-ph.CO · hep-th

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XF6FHS7DBCPWHSWH4AAZHFPM4B}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:23:24.422963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b97c53cbe3089f63cac7e0019395ece05822bcbfe69919b7a84c7b0e73146027

Aliases

arxiv: 1106.1662 · arxiv_version: 1106.1662v3 · doi: 10.48550/arxiv.1106.1662 · pith_short_12: XF6FHS7DBCPW · pith_short_16: XF6FHS7DBCPWHSWH · pith_short_8: XF6FHS7D

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/XF6FHS7DBCPWHSWH4AAZHFPM4B \
  | 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: b97c53cbe3089f63cac7e0019395ece05822bcbfe69919b7a84c7b0e73146027

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b268adb264a241cf9b09e0f53c14d81906ae541d2e071bc031ae005b98a81ce3",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-06-08T20:24:26Z",
    "title_canon_sha256": "b83ac19ff89a86495a36c38f94b119a51b094a702bff224f21ead01eddf7246f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1662",
    "kind": "arxiv",
    "version": 3
  }
}