Pith Number

pith:KQGV3ATY

pith:2025:KQGV3ATYYMFY3RH7LMUHHQRSFP

not attested not anchored not stored refs pending

Free-field approaches to boundary $\mathcal{W} \big[ \widehat{g} \big] (p,p') $ minimal models

Xun Liu

arxiv:2509.01949 v5 · 2025-09-02 · 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{KQGV3ATYYMFY3RH7LMUHHQRSFP}

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	2026-05-17T23:39:17.611156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

540d5d8278c30b8dc4ff5b2873c2322bf28551a30a9651eebd08a36d5b813871

Aliases

arxiv: 2509.01949 · arxiv_version: 2509.01949v5 · doi: 10.48550/arxiv.2509.01949 · pith_short_12: KQGV3ATYYMFY · pith_short_16: KQGV3ATYYMFY3RH7 · pith_short_8: KQGV3ATY

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/KQGV3ATYYMFY3RH7LMUHHQRSFP \
  | 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: 540d5d8278c30b8dc4ff5b2873c2322bf28551a30a9651eebd08a36d5b813871

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "871df97e2cb3f37730a7c37514f642ee023e727d7cd1243be90130a0db3671fa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-09-02T04:40:24Z",
    "title_canon_sha256": "0d32a005b922237a4eddc20edabb302a6a1480f0d469934e7129b3021b053bb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.01949",
    "kind": "arxiv",
    "version": 5
  }
}