Pith Number

pith:FKTWRR4H

pith:2013:FKTWRR4HOKGOJ2VDQY7DBTNRBI

not attested not anchored not stored refs pending

Eigenvalues of the drifted Laplacian on complete metric measure spaces

Detang Zhou, Xu Cheng

arxiv:1305.4116 v2 · 2013-05-17 · 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{FKTWRR4HOKGOJ2VDQY7DBTNRBI}

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	2026-05-18T03:10:24.030799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2aa768c787728ce4eaa3863e30cdb10a2f7abe545dafcb71d5acdab1f3540f8c

Aliases

arxiv: 1305.4116 · arxiv_version: 1305.4116v2 · doi: 10.48550/arxiv.1305.4116 · pith_short_12: FKTWRR4HOKGO · pith_short_16: FKTWRR4HOKGOJ2VD · pith_short_8: FKTWRR4H

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/FKTWRR4HOKGOJ2VDQY7DBTNRBI \
  | 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: 2aa768c787728ce4eaa3863e30cdb10a2f7abe545dafcb71d5acdab1f3540f8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ced70b362f86110c4a32543f3733eae010b5aee37d101c7854b9899af1caa40e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-05-17T15:46:30Z",
    "title_canon_sha256": "2a8f5a0b52cf4654e205289b4c79e16862e45c88ebc574fe385b8d56dc9580f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4116",
    "kind": "arxiv",
    "version": 2
  }
}