Pith Number

pith:ZQDGPIV3

pith:2009:ZQDGPIV3BEF2HU5TAQO4QA2ZTA

not attested not anchored not stored refs pending

Apparently noninvariant terms of $U(N)\times U(N)$ nonlinear sigma model in the one-loop approximation

Hirofumi Kubo, Koji Harada, Yuki Yamamoto

arxiv:0907.5260 v2 · 2009-07-30 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQDGPIV3BEF2HU5TAQO4QA2ZTA}

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	2026-05-18T02:34:38.285482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc0667a2bb090ba3d3b3041dc80359982f4d6f3519a98fb57d1d80aa804104ee

Aliases

arxiv: 0907.5260 · arxiv_version: 0907.5260v2 · doi: 10.48550/arxiv.0907.5260 · pith_short_12: ZQDGPIV3BEF2 · pith_short_16: ZQDGPIV3BEF2HU5T · pith_short_8: ZQDGPIV3

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/ZQDGPIV3BEF2HU5TAQO4QA2ZTA \
  | 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: cc0667a2bb090ba3d3b3041dc80359982f4d6f3519a98fb57d1d80aa804104ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea246090143ea80b40e804af2b803c8e500054ad9dcb3c6de204faaa8eb60e05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-07-30T05:50:30Z",
    "title_canon_sha256": "8f8b1fd6ee4027b66f59f8f786b4026ae367f0bc1548ba9ea47dec2a7912940a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5260",
    "kind": "arxiv",
    "version": 2
  }
}