Pith Number

pith:GHM6UAY3

pith:2018:GHM6UAY3FC6KX46NDGQEFRQXWX

not attested not anchored not stored refs pending

Perturbations of Dirac Operators and A KKW Type Theorem for Five Dimensional Manifolds with Boundary

Jian Wang, Yong Wang

arxiv:1807.11017 v1 · 2018-07-29 · 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{GHM6UAY3FC6KX46NDGQEFRQXWX}

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	2026-05-18T00:09:33.169150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31d9ea031b28bcabf3cd19a042c617b5dbd74b7aac9d120513db94aa07a45f01

Aliases

arxiv: 1807.11017 · arxiv_version: 1807.11017v1 · doi: 10.48550/arxiv.1807.11017 · pith_short_12: GHM6UAY3FC6K · pith_short_16: GHM6UAY3FC6KX46N · pith_short_8: GHM6UAY3

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/GHM6UAY3FC6KX46NDGQEFRQXWX \
  | 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: 31d9ea031b28bcabf3cd19a042c617b5dbd74b7aac9d120513db94aa07a45f01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ca85888a3ca393d42a7dff130d840dcc8b2a69239a39265b362bbce1b49d8f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-07-29T07:42:52Z",
    "title_canon_sha256": "a5134f88c7ec32e098df90e4e056a216026d798784c760052fe1d8a7035616d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11017",
    "kind": "arxiv",
    "version": 1
  }
}