Pith Number

pith:WZ3B7QIF

pith:2016:WZ3B7QIFQDDOYFNEKWAKDXTPTP

not attested not anchored not stored refs pending

Covariant and background independent functional RG flow for the effective average action

Gian Paolo Vacca, Mahmoud Safari

arxiv:1607.07074 v2 · 2016-07-24 · 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{WZ3B7QIFQDDOYFNEKWAKDXTPTP}

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	2026-05-18T00:54:35.346673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6761fc10580c6ec15a45580a1de6f9beb9e6c5594430118c7ca01d457cceb95

Aliases

arxiv: 1607.07074 · arxiv_version: 1607.07074v2 · doi: 10.48550/arxiv.1607.07074 · pith_short_12: WZ3B7QIFQDDO · pith_short_16: WZ3B7QIFQDDOYFNE · pith_short_8: WZ3B7QIF

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/WZ3B7QIFQDDOYFNEKWAKDXTPTP \
  | 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: b6761fc10580c6ec15a45580a1de6f9beb9e6c5594430118c7ca01d457cceb95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe9edbec4e0dc8c0a28c7a9013ff21c372905d99b602d1c677b47cd7f6cd0add",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-07-24T17:51:48Z",
    "title_canon_sha256": "1115238393853016dd6f240d886ed899bc2e8f1d89513062e3353569228ec3fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07074",
    "kind": "arxiv",
    "version": 2
  }
}