Pith. sign in
Pith Number

pith:X4DUP2TX

pith:2001:X4DUP2TXWBFJW4DAXGEQDNG3PK
not attested not anchored not stored refs pending

Topological susceptibility at zero and finite temperature in the Nambu-Jona-Lasinio model

K. Fukushima, K. Ohnishi, K. Ohta

arxiv:nucl-th/0101062 v2 · 2001-01-29 · nucl-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{X4DUP2TXWBFJW4DAXGEQDNG3PK}

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 2026-07-04T16:28:28.167720Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bf0747ea77b04a9b7060b98901b4db7aba26383550002002fdab2df6c7fdd74d

Aliases

arxiv: nucl-th/0101062 · arxiv_version: nucl-th/0101062v2 · doi: 10.48550/arxiv.nucl-th/0101062 · pith_short_12: X4DUP2TXWBFJ · pith_short_16: X4DUP2TXWBFJW4DA · pith_short_8: X4DUP2TX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/X4DUP2TXWBFJW4DAXGEQDNG3PK \
  | 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: bf0747ea77b04a9b7060b98901b4db7aba26383550002002fdab2df6c7fdd74d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ca40c4cf67ed4ca81904fccebcf0040a8d082faf13c1ad48dd4881fc303687cf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nucl-th",
    "submitted_at": "2001-01-29T07:55:27Z",
    "title_canon_sha256": "e9e821b069b058dc32f80e9eb2277865ab22d4925e99ca021d651e1a86f7f50a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nucl-th/0101062",
    "kind": "arxiv",
    "version": 2
  }
}