Pith Number

pith:S7UOB2RW

pith:2017:S7UOB2RWKJQP6RNFJDFN27MKES

not attested not anchored not stored refs pending

Pressure Derivative on Uncountable Alphabet Setting: a Ruelle Operator Approach

Eduardo A. Silva

arxiv:1707.09072 v3 · 2017-07-27 · 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{S7UOB2RWKJQP6RNFJDFN27MKES}

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	2026-05-17T23:40:42.049383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97e8e0ea365260ff45a548cadd7d8a24abb21ea21446acfdec0411b6ecd83407

Aliases

arxiv: 1707.09072 · arxiv_version: 1707.09072v3 · doi: 10.48550/arxiv.1707.09072 · pith_short_12: S7UOB2RWKJQP · pith_short_16: S7UOB2RWKJQP6RNF · pith_short_8: S7UOB2RW

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/S7UOB2RWKJQP6RNFJDFN27MKES \
  | 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: 97e8e0ea365260ff45a548cadd7d8a24abb21ea21446acfdec0411b6ecd83407

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55493bbce072487a7a48d8899cff4754616f09b194886434ee0894c32b0135f1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-07-27T23:11:11Z",
    "title_canon_sha256": "ecfd08f0acb09be7197ff0fb00a455bf7910994b7a3aed369021332e433aceb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09072",
    "kind": "arxiv",
    "version": 3
  }
}