Pith Number

pith:VZHWLNKY

pith:2021:VZHWLNKYB4IKHVXYHHDUJIOIMB

not attested not anchored not stored refs pending

Exact quantization and analytic continuation

Barak Gabai, Xi Yin

arxiv:2109.07516 v2 · 2021-09-15 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZHWLNKYB4IKHVXYHHDUJIOIMB}

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

Template masks for 4D-STEM

Receipt and verification

First computed	2026-07-05T04:27:07.731828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae4f65b5580f10a3d6f839c744a1c8605046504fd6b9b838e3fd8cbe28e24c06

Aliases

arxiv: 2109.07516 · arxiv_version: 2109.07516v2 · doi: 10.48550/arxiv.2109.07516 · pith_short_12: VZHWLNKYB4IK · pith_short_16: VZHWLNKYB4IKHVXY · pith_short_8: VZHWLNKY

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/VZHWLNKYB4IKHVXYHHDUJIOIMB \
  | 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: ae4f65b5580f10a3d6f839c744a1c8605046504fd6b9b838e3fd8cbe28e24c06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d50bde42b08c31d051cd9c7a0df37ea8f5ec66e629d2250ffa1b69f232f80a45",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-09-15T18:22:15Z",
    "title_canon_sha256": "169d19ee9a94002849eb3442920fc8e69363fd2c005f49f156f2b0840b5fa530"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.07516",
    "kind": "arxiv",
    "version": 2
  }
}