Pith Number

pith:VF4NM3X4

pith:2012:VF4NM3X4X5YXVZZKZEAEPIIVCO

not attested not anchored not stored refs pending

Luttinger liquids with multiple Fermi edges: Generalized Fisher-Hartwig conjecture and numerical analysis of Toeplitz determinants

A.D. Mirlin, D. B. Gutman, I. V. Protopopov

arxiv:1203.6418 v1 · 2012-03-29 · cond-mat.str-el

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VF4NM3X4X5YXVZZKZEAEPIIVCO}

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	2026-05-18T01:58:00.653230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a978d66efcbf717ae72ac90047a115138335299d6ac30e0e1ead5e3987d56ddb

Aliases

arxiv: 1203.6418 · arxiv_version: 1203.6418v1 · doi: 10.48550/arxiv.1203.6418 · pith_short_12: VF4NM3X4X5YX · pith_short_16: VF4NM3X4X5YXVZZK · pith_short_8: VF4NM3X4

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/VF4NM3X4X5YXVZZKZEAEPIIVCO \
  | 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: a978d66efcbf717ae72ac90047a115138335299d6ac30e0e1ead5e3987d56ddb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89d7fc044e73e509299ac3a9064de548bdbebb034be2b16d64b584081faa8668",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2012-03-29T03:31:52Z",
    "title_canon_sha256": "65d1df4aedb404ca6c3a498c553dbd7afb4339f76d5c42db2f23e670079c8a9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6418",
    "kind": "arxiv",
    "version": 1
  }
}