Pith Number

pith:WTMDUUTA

pith:2009:WTMDUUTAXKGP6JZ5NMYXE4DTTZ

not attested not anchored not stored refs pending

Resolvent expansions on hybrid manifolds

Konstantin Pankrashkin, Nader Yeganefar, Svetlana Roganova

arxiv:0911.3282 v1 · 2009-11-17 · 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{WTMDUUTAXKGP6JZ5NMYXE4DTTZ}

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	2026-05-18T04:20:14.777302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4d83a5260ba8cff273d6b317270739e537b447f9d1f11c4e1a833c4a4c8686d

Aliases

arxiv: 0911.3282 · arxiv_version: 0911.3282v1 · doi: 10.48550/arxiv.0911.3282 · pith_short_12: WTMDUUTAXKGP · pith_short_16: WTMDUUTAXKGP6JZ5 · pith_short_8: WTMDUUTA

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/WTMDUUTAXKGP6JZ5NMYXE4DTTZ \
  | 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: b4d83a5260ba8cff273d6b317270739e537b447f9d1f11c4e1a833c4a4c8686d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0065e12c58103a1c226995ad5aef3545a61cbe5ffc602a9408edb205dcbdcec4",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-11-17T12:06:26Z",
    "title_canon_sha256": "88a0b35346c6eb957c05013bbcbe737bd5f04ae701c555faac17cc8f90a9ecb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3282",
    "kind": "arxiv",
    "version": 1
  }
}