Pith Number

pith:BMHSK7VP

pith:2016:BMHSK7VP6VIMYYIRXP67OVJ2TD

not attested not anchored not stored refs pending

$\phi^3$ theory with $F_4$ flavor symmetry in $6-2\epsilon$ dimensions: 3-loop renormalization and conformal bootstrap

Junchen Rong, Ning Su, Yi Pang

arxiv:1609.03007 v4 · 2016-09-10 · hep-th · 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{BMHSK7VP6VIMYYIRXP67OVJ2TD}

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	2026-05-18T00:54:47.385965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b0f257eaff550cc6111bbfdf7553a98e887b7f5e5015bbb6a832a10fdbf4881

Aliases

arxiv: 1609.03007 · arxiv_version: 1609.03007v4 · doi: 10.48550/arxiv.1609.03007 · pith_short_12: BMHSK7VP6VIM · pith_short_16: BMHSK7VP6VIMYYIR · pith_short_8: BMHSK7VP

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/BMHSK7VP6VIMYYIRXP67OVJ2TD \
  | 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: 0b0f257eaff550cc6111bbfdf7553a98e887b7f5e5015bbb6a832a10fdbf4881

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ec455f93e6957049c6cffcbe9a23354b60516f6706ab98c7e2edaaf744276ab",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-09-10T07:24:48Z",
    "title_canon_sha256": "aa8ac6c9e6ae6031faa9d8a6dbc38d6f4722fdd280e27d816ab6cd3fe1ee4aa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03007",
    "kind": "arxiv",
    "version": 4
  }
}