Pith Number

pith:54BYB3BT

pith:2023:54BYB3BTDPLBGBRRJD5WUGAL32

not attested not anchored not stored refs pending

Global harmonic analysis for $\Phi^4_3$ on closed Riemannian manifolds

I. Bailleul, L. Ferdinand, N.V. Dang, T.D. T\^o

arxiv:2306.07757 v3 · 2023-06-13 · math.AP · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{54BYB3BTDPLBGBRRJD5WUGAL32}

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

Renormalised Models for Variable Coefficient Singular SPDEs

Receipt and verification

First computed	2026-07-05T08:59:02.785849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef0380ec331bd613063148fb6a180bde9c81c806132786f8b75060ab1eb924e9

Aliases

arxiv: 2306.07757 · arxiv_version: 2306.07757v3 · doi: 10.48550/arxiv.2306.07757 · pith_short_12: 54BYB3BTDPLB · pith_short_16: 54BYB3BTDPLBGBRR · pith_short_8: 54BYB3BT

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/54BYB3BTDPLBGBRRJD5WUGAL32 \
  | 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: ef0380ec331bd613063148fb6a180bde9c81c806132786f8b75060ab1eb924e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba282eb7fc64001fc5137ecffb3ffe0454d493c7e7648fec6f899ec3392eec2e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-06-13T13:17:19Z",
    "title_canon_sha256": "dfb0126e9184d07af329016740e684cda7a17cce2fbfa4d2825bb9554c2ed297"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.07757",
    "kind": "arxiv",
    "version": 3
  }
}