Pith Number

pith:KZDTVI3J

pith:2024:KZDTVI3JKDDSMQLFTPTZCXXOPH

not attested not anchored not stored refs pending

Spectral comparison results for the $N$-Bakry-Emery Ricci tensor

Jianchun Chu, Zihang Hao

arxiv:2412.13465 v1 · 2024-12-18 · 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{KZDTVI3JKDDSMQLFTPTZCXXOPH}

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	2026-07-05T09:51:02.213635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56473aa36950c72641659be7915eee79d00b159b467313deb36f7366fa07e339

Aliases

arxiv: 2412.13465 · arxiv_version: 2412.13465v1 · doi: 10.48550/arxiv.2412.13465 · pith_short_12: KZDTVI3JKDDS · pith_short_16: KZDTVI3JKDDSMQLF · pith_short_8: KZDTVI3J

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/KZDTVI3JKDDSMQLFTPTZCXXOPH \
  | 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: 56473aa36950c72641659be7915eee79d00b159b467313deb36f7366fa07e339

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a21cb6c9297ff7520fafb8ef37d5e4adba095f8c48a93721544e38a8a0a17bad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-12-18T03:21:04Z",
    "title_canon_sha256": "0e6d7ac60e75b445adaadbecf37147e4c54f375ee0090ddef1d392b3321f5929"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.13465",
    "kind": "arxiv",
    "version": 1
  }
}