Pith Number

pith:G3D376SL

pith:2015:G3D376SLZDSBDJFCWUTAGWEBB5

not attested not anchored not stored refs pending

Analysis of a Zero of a Beta Function Using All-Orders Summation of Diagrams

Robert Shrock

arxiv:1505.03588 v1 · 2015-05-14 · 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{G3D376SLZDSBDJFCWUTAGWEBB5}

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	2026-05-18T01:37:29.635198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36c7bffa4bc8e411a4a2b5260358810f5db6442808d5bc80bac5cace8e60679a

Aliases

arxiv: 1505.03588 · arxiv_version: 1505.03588v1 · doi: 10.48550/arxiv.1505.03588 · pith_short_12: G3D376SLZDSB · pith_short_16: G3D376SLZDSBDJFC · pith_short_8: G3D376SL

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/G3D376SLZDSBDJFCWUTAGWEBB5 \
  | 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: 36c7bffa4bc8e411a4a2b5260358810f5db6442808d5bc80bac5cace8e60679a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14ebaf960311454c607e929f13bddbf584bdcc054cba6e1dfd2bcb73b065796d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-05-14T01:11:35Z",
    "title_canon_sha256": "902d86bb980cb3b141a19d74fefddce6a8db228c3a31ea69b4c4c71eb70070cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03588",
    "kind": "arxiv",
    "version": 1
  }
}