Pith Number

pith:G72IWFOZ

pith:2026:G72IWFOZM2IRBAUVO2VI7BXD6Y

not attested not anchored not stored refs pending

$\phi^6$ at $6$ (and some $8$) loops in $3d$

Hugh Osborn, Ian Jack

arxiv:2605.19810 v1 · 2026-05-19 · 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{G72IWFOZM2IRBAUVO2VI7BXD6Y}

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	2026-05-20T01:06:15.657638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37f48b15d9669110829576aa8f86e3f60faac5a522f89978bfba289835606d5a

Aliases

arxiv: 2605.19810 · arxiv_version: 2605.19810v1 · doi: 10.48550/arxiv.2605.19810 · pith_short_12: G72IWFOZM2IR · pith_short_16: G72IWFOZM2IRBAUV · pith_short_8: G72IWFOZ

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/G72IWFOZM2IRBAUVO2VI7BXD6Y \
  | 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: 37f48b15d9669110829576aa8f86e3f60faac5a522f89978bfba289835606d5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3e8e02ccfa958c578dc3ef2313506dffadbb08d4230d397498d5ef8a216e215",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-19T13:07:59Z",
    "title_canon_sha256": "83aed3ab653c4c31467c0771d215e501c4f99934b544aba757a43e42a7992394"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19810",
    "kind": "arxiv",
    "version": 1
  }
}