Pith Number

pith:KYNBMET2

pith:2004:KYNBMET2WDNFBJN6TML56YLGWW

not attested not anchored not stored refs pending

Topological calculation of the phase of the determinant of a non self-adjoint elliptic operator

Alexander G. Abanov, Maxim Braverman

arxiv:math-ph/0401037 v2 · 2004-01-19 · math-ph · cond-mat.mes-hall · cond-mat.str-el · cond-mat.supr-con · hep-th · 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{KYNBMET2WDNFBJN6TML56YLGWW}

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	2026-05-18T01:05:30.275799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

561a16127ab0da50a5be9b17df6166b5ae1ac5cfd27c39672277d915d94abecd

Aliases

arxiv: math-ph/0401037 · arxiv_version: math-ph/0401037v2 · doi: 10.48550/arxiv.math-ph/0401037 · pith_short_12: KYNBMET2WDNF · pith_short_16: KYNBMET2WDNFBJN6 · pith_short_8: KYNBMET2

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/KYNBMET2WDNFBJN6TML56YLGWW \
  | 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: 561a16127ab0da50a5be9b17df6166b5ae1ac5cfd27c39672277d915d94abecd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "494efb71f46be2f5001b93bd455fe282f0f05be351497900904906553223e029",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "cond-mat.str-el",
      "cond-mat.supr-con",
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-01-19T23:36:22Z",
    "title_canon_sha256": "4c263efed7507c14821a9071e63ee2eac90f0cf957351e05293ba8b86e93b3fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0401037",
    "kind": "arxiv",
    "version": 2
  }
}