Pith Number

pith:V3ZYJTUJ

pith:2017:V3ZYJTUJSXMQPDYUIYUB3ZBGIL

not attested not anchored not stored refs pending

A correction to a remark in a paper by Procacci and Yuhjtman: new lower bounds for the convergence radius of the virial series

Aldo Procacci

arxiv:1705.04385 v2 · 2017-05-11 · 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{V3ZYJTUJSXMQPDYUIYUB3ZBGIL}

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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	2026-05-18T00:35:20.577367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aef384ce8995d9078f1446281de42642d5766a9549000cfcfb5712f7ff61faa0

Aliases

arxiv: 1705.04385 · arxiv_version: 1705.04385v2 · doi: 10.48550/arxiv.1705.04385 · pith_short_12: V3ZYJTUJSXMQ · pith_short_16: V3ZYJTUJSXMQPDYU · pith_short_8: V3ZYJTUJ

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/V3ZYJTUJSXMQPDYUIYUB3ZBGIL \
  | 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: aef384ce8995d9078f1446281de42642d5766a9549000cfcfb5712f7ff61faa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af4c157cf83ea915ad7fc94ddb0d21179a7d2184eaf412b88260267e3eda4b79",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-05-11T22:04:53Z",
    "title_canon_sha256": "6ad58ab013b46ea91a25973f085797c89c5565954f673690466907d40fa9793f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04385",
    "kind": "arxiv",
    "version": 2
  }
}