Pith Number

pith:AJFHWKZW

pith:2019:AJFHWKZWROT7B2XYOQIMJJSOZM

not attested not anchored not stored refs pending

Perturbative approach to the entanglement entropy and the area law in Fock and polymer quantization

Gopal Sardar, Subhajit Barman

arxiv:1906.02921 v1 · 2019-06-07 · gr-qc · 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{AJFHWKZWROT7B2XYOQIMJJSOZM}

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	2026-05-17T23:41:41.818662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

024a7b2b368ba7f0eaf87410c4a64ecb2dfe2796a4c0462f6b16fae81ef902e3

Aliases

arxiv: 1906.02921 · arxiv_version: 1906.02921v1 · doi: 10.48550/arxiv.1906.02921 · pith_short_12: AJFHWKZWROT7 · pith_short_16: AJFHWKZWROT7B2XY · pith_short_8: AJFHWKZW

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/AJFHWKZWROT7B2XYOQIMJJSOZM \
  | 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: 024a7b2b368ba7f0eaf87410c4a64ecb2dfe2796a4c0462f6b16fae81ef902e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73c4b98a0fcfe992d4f746c168edf42a21f0b37ff465354ab85ad56289e5b89b",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-06-07T06:31:17Z",
    "title_canon_sha256": "64a8f1ec5dae66309bb0ef8489e0009ff2472ff700aef4a4d3a48c632c14bbf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.02921",
    "kind": "arxiv",
    "version": 1
  }
}