Pith Number

pith:S4EL7F4Y

pith:2007:S4EL7F4YJ52IWXU7LLB6LISOLN

not attested not anchored not stored refs pending

PT-Symmetry Quantum Electrodynamics--PTQED

Ines Cavero-Pelaez, Jef Wagner, Kimball A. Milton, K. V. Shajesh, Prachi Parashar

arxiv:0712.0045 v1 · 2007-12-01 · hep-th · quant-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{S4EL7F4YJ52IWXU7LLB6LISOLN}

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	2026-05-18T04:26:45.997184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9708bf97984f748b5e9f5ac3e5a24e5b4fd9e98c74a2f82e4d4fcf075b84e81a

Aliases

arxiv: 0712.0045 · arxiv_version: 0712.0045v1 · doi: 10.48550/arxiv.0712.0045 · pith_short_12: S4EL7F4YJ52I · pith_short_16: S4EL7F4YJ52IWXU7 · pith_short_8: S4EL7F4Y

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/S4EL7F4YJ52IWXU7LLB6LISOLN \
  | 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: 9708bf97984f748b5e9f5ac3e5a24e5b4fd9e98c74a2f82e4d4fcf075b84e81a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15dd4e30bdd35feecc5a59c428e2a33b11c305ebf3dd0538318caf05486abf5c",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-12-01T04:45:22Z",
    "title_canon_sha256": "41c2941c4788d9b5ec9f91bd3cf917e17eb472e821027643d513cd989a1e55ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.0045",
    "kind": "arxiv",
    "version": 1
  }
}