Pith Number

pith:4GJYRPVN

pith:2018:4GJYRPVN7XTE2MF52DVTRGE45W

not attested not anchored not stored refs pending

Modular Flow as a Disentangler

Aitor Lewkowycz, Xiao-Liang Qi, Xi Dong, Yiming Chen

arxiv:1806.09622 v2 · 2018-06-25 · 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{4GJYRPVN7XTE2MF52DVTRGE45W}

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	2026-05-17T23:57:31.766948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e19388beadfde64d30bdd0eb38989ced8220f05782f2bbcc2b64f24db986afde

Aliases

arxiv: 1806.09622 · arxiv_version: 1806.09622v2 · doi: 10.48550/arxiv.1806.09622 · pith_short_12: 4GJYRPVN7XTE · pith_short_16: 4GJYRPVN7XTE2MF5 · pith_short_8: 4GJYRPVN

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/4GJYRPVN7XTE2MF52DVTRGE45W \
  | 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: e19388beadfde64d30bdd0eb38989ced8220f05782f2bbcc2b64f24db986afde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c8bf94246c4a24ab644a54410eefa48dfa66cd179e13168ee1cc095199abe07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-06-25T18:00:00Z",
    "title_canon_sha256": "4f9c841a6fe198eb3824cb1d54f8c185f5078ce2ce34a4b2bbcf225de197e93c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09622",
    "kind": "arxiv",
    "version": 2
  }
}