Pith Number

pith:5BNKSN2U

pith:2020:5BNKSN2U7JHQ63TPMXYH5IZBM7

not attested not anchored not stored refs pending

Probing phase transitions of holographic entanglement entropy with fixed area states

Donald Marolf, Shannon Wang, Zhencheng Wang

arxiv:2006.10089 v2 · 2020-06-17 · 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{5BNKSN2U7JHQ63TPMXYH5IZBM7}

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

Living on the edge: a non-perturbative resolution to the negativity of bulk entropies

Receipt and verification

First computed	2026-07-05T02:02:38.450585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e85aa93754fa4f0f6e6f65f07ea32167ebdc9ed79750a78892782b137bb448ff

Aliases

arxiv: 2006.10089 · arxiv_version: 2006.10089v2 · doi: 10.48550/arxiv.2006.10089 · pith_short_12: 5BNKSN2U7JHQ · pith_short_16: 5BNKSN2U7JHQ63TP · pith_short_8: 5BNKSN2U

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/5BNKSN2U7JHQ63TPMXYH5IZBM7 \
  | 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: e85aa93754fa4f0f6e6f65f07ea32167ebdc9ed79750a78892782b137bb448ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2294880eeb1c3bc5335db113b33e9bd2c5834959b8d7119b8d8e6a34e83a19f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-06-17T18:09:39Z",
    "title_canon_sha256": "0085a549ed64f7a10a3bc99c7e6296f54db7304adb105c2ace4e416af67b4188"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.10089",
    "kind": "arxiv",
    "version": 2
  }
}