Pith Number

pith:AZHPRSLR

pith:2025:AZHPRSLRLKAAZQU6QGQFGT5MII

not attested not anchored not stored refs pending

The spectral Einstein functional for the nonminimal de Rham-Hodge operator

Hongfeng Li, Yong Wang

arxiv:2502.06224 v1 · 2025-02-10 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZHPRSLRLKAAZQU6QGQFGT5MII}

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	2026-07-05T10:11:49.313814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

064ef8c9715a800cc29e81a0534fac4203b7985f2db5a3830c012a2b5b9128d5

Aliases

arxiv: 2502.06224 · arxiv_version: 2502.06224v1 · doi: 10.48550/arxiv.2502.06224 · pith_short_12: AZHPRSLRLKAA · pith_short_16: AZHPRSLRLKAAZQU6 · pith_short_8: AZHPRSLR

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/AZHPRSLRLKAAZQU6QGQFGT5MII \
  | 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: 064ef8c9715a800cc29e81a0534fac4203b7985f2db5a3830c012a2b5b9128d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a402362ce36ca5b297c5ae38f25d62dece2ffbff3d051d50f409fd705ccee5cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-02-10T07:56:05Z",
    "title_canon_sha256": "b6865e094187cd47456d027d0b8993f9e823a4c82d2b67dfaa8376908a6a5a92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.06224",
    "kind": "arxiv",
    "version": 1
  }
}