Pith Number

pith:6H2YDWHV

pith:2014:6H2YDWHVUGJK3TUWGRIXLYT275

not attested not anchored not stored refs pending

The Joint Spectral Flow and Localization of the Indices of Elliptic Operators

Yosuke Kubota

arxiv:1410.5569 v2 · 2014-10-21 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6H2YDWHVUGJK3TUWGRIXLYT275}

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	2026-05-18T01:22:21.666217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1f581d8f5a192adce96345175e27aff68b18351eb61c0c72244daa5bb0c4bed

Aliases

arxiv: 1410.5569 · arxiv_version: 1410.5569v2 · doi: 10.48550/arxiv.1410.5569 · pith_short_12: 6H2YDWHVUGJK · pith_short_16: 6H2YDWHVUGJK3TUW · pith_short_8: 6H2YDWHV

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/6H2YDWHVUGJK3TUWGRIXLYT275 \
  | 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: f1f581d8f5a192adce96345175e27aff68b18351eb61c0c72244daa5bb0c4bed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3510ea163e20404f552ae2027b18105018ca247e862ac793ba885b03a5c76707",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2014-10-21T08:15:14Z",
    "title_canon_sha256": "3bdb300458dbe8aecb52ac23dcc11dfec83ebccb1f114a1b1cc26b89ea767fad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5569",
    "kind": "arxiv",
    "version": 2
  }
}