Pith Number

pith:XAIW45TQ

pith:2025:XAIW45TQKW4UCM7STTVY5QCF7Q

not attested not anchored not stored refs pending

Three-loop singularity structure for a non-linear sigma model

A. V. Ivanov, I. V. Korenev, P. V. Akacevich

arxiv:2507.05923 v1 · 2025-07-08 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XAIW45TQKW4UCM7STTVY5QCF7Q}

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

On background fields and a cutoff in sigma models

Receipt and verification

First computed	2026-07-05T11:33:38.429567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8116e767055b94133f29ceb8ec045fc108f3842b2e07e4b6198636ef5180846

Aliases

arxiv: 2507.05923 · arxiv_version: 2507.05923v1 · doi: 10.48550/arxiv.2507.05923 · pith_short_12: XAIW45TQKW4U · pith_short_16: XAIW45TQKW4UCM7S · pith_short_8: XAIW45TQ

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/XAIW45TQKW4UCM7STTVY5QCF7Q \
  | 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: b8116e767055b94133f29ceb8ec045fc108f3842b2e07e4b6198636ef5180846

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43b7e4f074512abdf65bb7878b1064c1cad59e464f7ea3c7e53d828caee89723",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-07-08T12:11:02Z",
    "title_canon_sha256": "0b2e3ee61a90c5d94aa15e741a3d11db51f04577ee18da14f9c3e079e5286ccc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05923",
    "kind": "arxiv",
    "version": 1
  }
}