Pith Number

pith:E6ENIKL5

pith:2010:E6ENIKL55YOKKNX6SD3EQF3JD2

not attested not anchored not stored refs pending

A Goldstone Theorem in Thermal Relativistic Quantum Field Theory

Christian D. Jaekel, Walter F. Wreszinski

arxiv:1006.0256 v1 · 2010-06-01 · math-ph · 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{E6ENIKL55YOKKNX6SD3EQF3JD2}

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	2026-05-18T02:07:05.803380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2788d4297dee1ca536fe90f64817691ea89973a737fcb06b1e51e18f7367fcaf

Aliases

arxiv: 1006.0256 · arxiv_version: 1006.0256v1 · doi: 10.48550/arxiv.1006.0256 · pith_short_12: E6ENIKL55YOK · pith_short_16: E6ENIKL55YOKKNX6 · pith_short_8: E6ENIKL5

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/E6ENIKL55YOKKNX6SD3EQF3JD2 \
  | 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: 2788d4297dee1ca536fe90f64817691ea89973a737fcb06b1e51e18f7367fcaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d327031ffc70f23e626fb53a365b7b6f5c63cccf06398fbe56b308187071a849",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-06-01T21:14:24Z",
    "title_canon_sha256": "a59a76a5e3c6bab43de1cc5dbeac8702dd2b0f953bbaf77916d913a0e5c639d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0256",
    "kind": "arxiv",
    "version": 1
  }
}