Pith Number

pith:6MTT4KKM

pith:2025:6MTT4KKMF4FXNX6MQ5AXA3TM2A

not attested not anchored not stored refs pending

Gradient properties of $\varphi^3$ in $d=6-\varepsilon$

Lorenzo Benfatto, Omar Zanusso

arxiv:2507.20761 v3 · 2025-07-28 · 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{6MTT4KKMF4FXNX6MQ5AXA3TM2A}

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

3 papers in Pith

Matching $A$ with $F$ in long-range QFTs

Receipt and verification

First computed	2026-07-05T11:46:45.823732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3273e294c2f0b76dfcc8741706e6cd02b6011795234b7aa81712118d9aa269e

Aliases

arxiv: 2507.20761 · arxiv_version: 2507.20761v3 · doi: 10.48550/arxiv.2507.20761 · pith_short_12: 6MTT4KKMF4FX · pith_short_16: 6MTT4KKMF4FXNX6M · pith_short_8: 6MTT4KKM

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/6MTT4KKMF4FXNX6MQ5AXA3TM2A \
  | 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: f3273e294c2f0b76dfcc8741706e6cd02b6011795234b7aa81712118d9aa269e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "725040d8405e49647d78416c7ad4771cf6ad32eb3dedd3aef11fbfe7fd175e8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-07-28T12:16:16Z",
    "title_canon_sha256": "ea1704b936a5501c94b3bf62ccb997bc8a72995b8f4e89291ccfb4785f5a2a6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.20761",
    "kind": "arxiv",
    "version": 3
  }
}