Pith Number

pith:QVVSFPWT

pith:2025:QVVSFPWTQUZGWE5KT6X7G2IKAR

not attested not anchored not stored refs pending

Spectral Networks and Betti Lagrangians

Roger Casals, Yoon Jae Nho

arxiv:2504.08144 v1 · 2025-04-10 · math.SG · math-ph · math.DG · 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{QVVSFPWTQUZGWE5KT6X7G2IKAR}

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

Categorical Lusztig cycles and weave schobers

Receipt and verification

First computed	2026-07-05T10:47:43.705519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

856b22bed385326b13aa9faff3690a0450c92c73176fa32951c4e6c1af1ef88f

Aliases

arxiv: 2504.08144 · arxiv_version: 2504.08144v1 · doi: 10.48550/arxiv.2504.08144 · pith_short_12: QVVSFPWTQUZG · pith_short_16: QVVSFPWTQUZGWE5K · pith_short_8: QVVSFPWT

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/QVVSFPWTQUZGWE5KT6X7G2IKAR \
  | 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: 856b22bed385326b13aa9faff3690a0450c92c73176fa32951c4e6c1af1ef88f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8521f1112b3f11b3afdc31eb1133478945178e6182fb81401e2441bc332b6673",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2025-04-10T22:12:14Z",
    "title_canon_sha256": "f93529166a85c267de76dbebadec239166c40df8d4c5e67b3fca7341760c000c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.08144",
    "kind": "arxiv",
    "version": 1
  }
}