Pith Number

pith:IRPJFUB2

pith:2017:IRPJFUB2EF6ZNYNKBJ6JFAXPTJ

not attested not anchored not stored refs pending

Exact and "exact" formulae in the theory of composites

Igor Andrianov, Vladimir Mityushev

arxiv:1708.02137 v1 · 2017-08-07 · 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{IRPJFUB2EF6ZNYNKBJ6JFAXPTJ}

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	2026-05-18T00:38:31.955617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

445e92d03a217d96e1aa0a7c9282ef9a51352aee1a5ee9aa13833ae7083d0bd9

Aliases

arxiv: 1708.02137 · arxiv_version: 1708.02137v1 · doi: 10.48550/arxiv.1708.02137 · pith_short_12: IRPJFUB2EF6Z · pith_short_16: IRPJFUB2EF6ZNYNK · pith_short_8: IRPJFUB2

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/IRPJFUB2EF6ZNYNKBJ6JFAXPTJ \
  | 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: 445e92d03a217d96e1aa0a7c9282ef9a51352aee1a5ee9aa13833ae7083d0bd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2d908586590e125bb8b8e74569aaf4cafeb9a2e1aa4e3d103bb19d530eabeff",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-08-07T14:44:42Z",
    "title_canon_sha256": "ae24b03aeb00b7eca3a531042ab0184223ae69130106205c40087ddbbb6abf6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02137",
    "kind": "arxiv",
    "version": 1
  }
}