Pith Number

pith:TUTMNYL7

pith:2012:TUTMNYL7EI44XGCBYLDY6NGIGN

not attested not anchored not stored refs pending

Complex representation theory of the electromagnetic field

Andreas Aste

arxiv:1211.1218 v3 · 2012-11-05 · math-ph · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TUTMNYL7EI44XGCBYLDY6NGIGN}

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	2026-05-18T03:33:47.849478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d26c6e17f2239cb9841c2c78f34c83379fdf8e666faa848735b0110f2036f8a

Aliases

arxiv: 1211.1218 · arxiv_version: 1211.1218v3 · doi: 10.48550/arxiv.1211.1218 · pith_short_12: TUTMNYL7EI44 · pith_short_16: TUTMNYL7EI44XGCB · pith_short_8: TUTMNYL7

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/TUTMNYL7EI44XGCBYLDY6NGIGN \
  | 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: 9d26c6e17f2239cb9841c2c78f34c83379fdf8e666faa848735b0110f2036f8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f670eb34da7179b009d96b984b5244fb58584678940586883609251e4652fab",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-05T13:41:44Z",
    "title_canon_sha256": "674c5a3534e15af21266c01833570406c8e7746d11e61bd6559600e75ed04a76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1218",
    "kind": "arxiv",
    "version": 3
  }
}