Pith Number

pith:J3RHI3RS

pith:2016:J3RHI3RSE5L4ZPWX7I3SRVDOEN

not attested not anchored not stored refs pending

On the Question of a Possible Infrared Zero in the Beta Function of the Finite-$N$ Gross-Neveu Model

Gongjun Choi, Robert Shrock, Thomas Ryttov

arxiv:1612.05580 v1 · 2016-12-16 · 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{J3RHI3RSE5L4ZPWX7I3SRVDOEN}

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	2026-05-18T00:52:08.920167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ee2746e322757ccbed7fa3728d46e23429cf5b6c0ac8276118dd79714115563

Aliases

arxiv: 1612.05580 · arxiv_version: 1612.05580v1 · doi: 10.48550/arxiv.1612.05580 · pith_short_12: J3RHI3RSE5L4 · pith_short_16: J3RHI3RSE5L4ZPWX · pith_short_8: J3RHI3RS

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/J3RHI3RSE5L4ZPWX7I3SRVDOEN \
  | 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: 4ee2746e322757ccbed7fa3728d46e23429cf5b6c0ac8276118dd79714115563

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a4840fa6a3fea761f4dc6db204f38649cf18ab14e166b2c8879e9cb1ffdb0a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-12-16T18:24:06Z",
    "title_canon_sha256": "adf56b6f04679f31c28bb75f0cdbd854de40c6ff6392e1a882a44e576cbc4b1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05580",
    "kind": "arxiv",
    "version": 1
  }
}