Pith Number

pith:V6ASTJFU

pith:1996:V6ASTJFU4ITQ3NIKKNK45X24BY

not attested not anchored not stored refs pending

Fancy and facts in the (d - 2) expansion of non-linear sigma models

E. Brezin, S. Hikami

arxiv:cond-mat/9612016 v1 · 1996-12-02 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V6ASTJFU4ITQ3NIKKNK45X24BY}

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.

Cited by

1 paper in Pith

Disturbing news about the $d=2+\epsilon$ expansion

Receipt and verification

First computed	2026-07-04T15:08:34.839248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af8129a4b4e2270db50a5355cedf5c0e177e565d04dd5157c93c4fa48898e928

Aliases

arxiv: cond-mat/9612016 · arxiv_version: cond-mat/9612016v1 · doi: 10.48550/arxiv.cond-mat/9612016 · pith_short_12: V6ASTJFU4ITQ · pith_short_16: V6ASTJFU4ITQ3NIK · pith_short_8: V6ASTJFU

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/V6ASTJFU4ITQ3NIKKNK45X24BY \
  | 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: af8129a4b4e2270db50a5355cedf5c0e177e565d04dd5157c93c4fa48898e928

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62b3c767f5c13f7236f7f7983277b7e7c32e4de0a550f24dfb969762f760dd60",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1996-12-02T10:09:41Z",
    "title_canon_sha256": "87fb048c1ad12f4a199a751887997a7c7863a98d474c59c871e6942d9084d8c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9612016",
    "kind": "arxiv",
    "version": 1
  }
}