Pith Number

pith:GRZP333J

pith:2014:GRZP333JENCQEY3PNVN4HVVAPE

not attested not anchored not stored refs pending

Bulk Emergence and the RG Flow of Entanglement Entropy

Thomas Faulkner

arxiv:1412.5648 v2 · 2014-12-17 · hep-th · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRZP333JENCQEY3PNVN4HVVAPE}

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.

Cited by

1 paper in Pith

Entropy Variations and Light Ray Operators from Replica Defects

Receipt and verification

First computed	2026-05-18T01:55:33.144073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3472fdef69234502636f6d5bc3d6a07910f3d6976547260f7ad45875f10169fc

Aliases

arxiv: 1412.5648 · arxiv_version: 1412.5648v2 · doi: 10.48550/arxiv.1412.5648 · pith_short_12: GRZP333JENCQ · pith_short_16: GRZP333JENCQEY3P · pith_short_8: GRZP333J

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/GRZP333JENCQEY3PNVN4HVVAPE \
  | 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: 3472fdef69234502636f6d5bc3d6a07910f3d6976547260f7ad45875f10169fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26dcdfad87b765210f67f079c34e6fc732e68ccef7fb2a0b06bb06785d821483",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-12-17T22:11:46Z",
    "title_canon_sha256": "25e11648a2d92f729b509f77fea5439e85168e431d8a0cc44e4517094b9ad67a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5648",
    "kind": "arxiv",
    "version": 2
  }
}