Pith Number

pith:F72YT2Q4

pith:2014:F72YT2Q4QXIYO4NH6UPBWBNIZY

not attested not anchored not stored refs pending

Extrapolation of perturbation-theory expansions by self-similar approximants

S. Gluzman, V.I. Yukalov

arxiv:1409.1592 v1 · 2014-09-03 · math-ph · cond-mat.stat-mech · 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{F72YT2Q4QXIYO4NH6UPBWBNIZY}

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	2026-05-18T02:43:25.697848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ff589ea1c85d18771a7f51e1b05a8ce0915755e05c849fa503a1a000fd33630

Aliases

arxiv: 1409.1592 · arxiv_version: 1409.1592v1 · doi: 10.48550/arxiv.1409.1592 · pith_short_12: F72YT2Q4QXIY · pith_short_16: F72YT2Q4QXIYO4NH · pith_short_8: F72YT2Q4

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/F72YT2Q4QXIYO4NH6UPBWBNIZY \
  | 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: 2ff589ea1c85d18771a7f51e1b05a8ce0915755e05c849fa503a1a000fd33630

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "926e1aa154aaa0d860207a3d6c103253238164c141f6bc6bfd57bfa0fa545be9",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-09-03T11:28:30Z",
    "title_canon_sha256": "f7985afc6c483d903169e06270440769ba560475113a013da0765ef912fc3e8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1592",
    "kind": "arxiv",
    "version": 1
  }
}