Pith Number

pith:HM5BNSUV

pith:2014:HM5BNSUVVOHRWSXJP53Q2HTOCG

not attested not anchored not stored refs pending

Higher Spectral Flow for Dirac Operators with Local Boundary Conditions

Jianqing Yu

arxiv:1410.5988 v1 · 2014-10-22 · 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{HM5BNSUVVOHRWSXJP53Q2HTOCG}

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	2026-05-18T02:39:32.768306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b3a16ca95ab8f1b4ae97f770d1e6e119bd7ea9da6c59875352df2fd35967789

Aliases

arxiv: 1410.5988 · arxiv_version: 1410.5988v1 · doi: 10.48550/arxiv.1410.5988 · pith_short_12: HM5BNSUVVOHR · pith_short_16: HM5BNSUVVOHRWSXJ · pith_short_8: HM5BNSUV

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/HM5BNSUVVOHRWSXJP53Q2HTOCG \
  | 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: 3b3a16ca95ab8f1b4ae97f770d1e6e119bd7ea9da6c59875352df2fd35967789

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "020c80a55370d32958e81dc19f49d0ea52349a916f45e5ef9ebd594cd0382efa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-10-22T10:56:33Z",
    "title_canon_sha256": "be96267bca9c4d22237e5fa8813c91546bd8b92963c09b7a35d9a986a7bf87a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5988",
    "kind": "arxiv",
    "version": 1
  }
}