Pith Number

pith:T6CTUDKV

pith:2013:T6CTUDKVHJ5ULU5RGIKHVWDLNR

not attested not anchored not stored refs pending

The Necessity of the Hadamard Condition

Christopher J Fewster, Rainer Verch

arxiv:1307.5242 v2 · 2013-07-19 · 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{T6CTUDKVHJ5ULU5RGIKHVWDLNR}

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	2026-05-18T01:07:54.317820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f853a0d553a7b45d3b132147ad86b6c6e5c610f149e2e443e1efde8b8ce9892

Aliases

arxiv: 1307.5242 · arxiv_version: 1307.5242v2 · doi: 10.48550/arxiv.1307.5242 · pith_short_12: T6CTUDKVHJ5U · pith_short_16: T6CTUDKVHJ5ULU5R · pith_short_8: T6CTUDKV

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/T6CTUDKVHJ5ULU5RGIKHVWDLNR \
  | 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: 9f853a0d553a7b45d3b132147ad86b6c6e5c610f149e2e443e1efde8b8ce9892

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82232a0d94c909a2942aa194152a1ecb1e202603f0a537f235d34e7fa02d2099",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-07-19T14:52:24Z",
    "title_canon_sha256": "942096503bec203f220b517063d3db5a56addc7d397abb298737cbd734bb7085"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5242",
    "kind": "arxiv",
    "version": 2
  }
}