Pith Number

pith:TJY7IXNA

pith:2019:TJY7IXNA3O5OZP6TGFVOC5X3IQ

not attested not anchored not stored refs pending

A critical look at $\beta$-function singularities at large $N$

Nicola Andrea Dondi, Simone Blasi, Tommi Alanne

arxiv:1905.08709 v2 · 2019-05-21 · hep-th · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TJY7IXNA3O5OZP6TGFVOC5X3IQ}

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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

Probing Large $N_f$ Through Schemes

Receipt and verification

First computed	2026-07-05T00:42:19.130041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a71f45da0dbbaecbfd3316ae176fb443ddb3b30524e482ad02d32bffdddfaeb

Aliases

arxiv: 1905.08709 · arxiv_version: 1905.08709v2 · doi: 10.48550/arxiv.1905.08709 · pith_short_12: TJY7IXNA3O5O · pith_short_16: TJY7IXNA3O5OZP6T · pith_short_8: TJY7IXNA

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/TJY7IXNA3O5OZP6TGFVOC5X3IQ \
  | 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: 9a71f45da0dbbaecbfd3316ae176fb443ddb3b30524e482ad02d32bffdddfaeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfc1435512cf9c47d66aab6888c491ea1e0ece659e3e24734284fa5bb94e0ceb",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-05-21T15:47:09Z",
    "title_canon_sha256": "f05f875b53ccfbe37ec9bf66735b330b4f1f75d2e706c371f575465aa135d17e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.08709",
    "kind": "arxiv",
    "version": 2
  }
}