Pith Number

pith:GJRFWXGW

pith:2013:GJRFWXGWM5RIREOIE6XCHA2NU6

not attested not anchored not stored refs pending

"Vacuum-like" Hadamard states for quantum fields on curved spacetimes

Klaus Fredenhagen, Marcos Brum

arxiv:1307.0482 v2 · 2013-07-01 · gr-qc · 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{GJRFWXGWM5RIREOIE6XCHA2NU6}

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.

Cited by

1 paper in Pith

Carrollian quantum states and flat space holography

Receipt and verification

First computed	2026-05-18T03:04:08.327682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32625b5cd667628891c827ae23834da79a88f0380229d0d0cbb91e564b89f79b

Aliases

arxiv: 1307.0482 · arxiv_version: 1307.0482v2 · doi: 10.48550/arxiv.1307.0482 · pith_short_12: GJRFWXGWM5RI · pith_short_16: GJRFWXGWM5RIREOI · pith_short_8: GJRFWXGW

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/GJRFWXGWM5RIREOIE6XCHA2NU6 \
  | 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: 32625b5cd667628891c827ae23834da79a88f0380229d0d0cbb91e564b89f79b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6364200c797271deaf3c06bb80df27b4aba19e2cc694097cfa663c5cba10997a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-07-01T18:58:36Z",
    "title_canon_sha256": "19e7bd42c6bd7e67388f14ed3f6920c79fbe27e62b0dfa638961e6e27a163593"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0482",
    "kind": "arxiv",
    "version": 2
  }
}