Pith Number

pith:HCU57GNE

pith:2026:HCU57GNENCPUCDG3CHMUI4UCS2

not attested not anchored not stored refs pending

Correction exponents in the chiral Heisenberg model at $1/N^2$: singular contributions and operator mixing

Alexander N. Manashov, Leonid A. Shumilov

arxiv:2603.21989 v2 · 2026-03-23 · hep-th · 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{HCU57GNENCPUCDG3CHMUI4UCS2}

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	2026-07-13T01:18:06.363461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38a9df99a4689f410cdb11d944728296ba6ed6e74b91de682a85d546761549c6

Aliases

arxiv: 2603.21989 · arxiv_version: 2603.21989v2 · doi: 10.48550/arxiv.2603.21989 · pith_short_12: HCU57GNENCPU · pith_short_16: HCU57GNENCPUCDG3 · pith_short_8: HCU57GNE

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/HCU57GNENCPUCDG3CHMUI4UCS2 \
  | 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: 38a9df99a4689f410cdb11d944728296ba6ed6e74b91de682a85d546761549c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab08bf15411c765f3a4090a108775abec7ced1baf97a2e872b13684945f4106c",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-03-23T13:56:18Z",
    "title_canon_sha256": "bb14f89a228f6b3b3a737e2999680fe70512f2c0d5c78551fb946ff15af35407"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.21989",
    "kind": "arxiv",
    "version": 2
  }
}