Pith Number

pith:7CFLG5IH

pith:2011:7CFLG5IHFOBGXFK7RTW3AF5TBO

not attested not anchored not stored refs pending

Index theory for linear self-adjoint operator equations and nontrivial solutions for asymptotically linear operator equations(II)

Yuan Shan, Yujun Dong

arxiv:1104.1670 v1 · 2011-04-09 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CFLG5IHFOBGXFK7RTW3AF5TBO}

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	2026-05-18T04:24:43.388302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f88ab375072b826b955f8cedb017b30b8c8ff6d0da30a7e639200765f0e6cdfb

Aliases

arxiv: 1104.1670 · arxiv_version: 1104.1670v1 · doi: 10.48550/arxiv.1104.1670 · pith_short_12: 7CFLG5IHFOBG · pith_short_16: 7CFLG5IHFOBGXFK7 · pith_short_8: 7CFLG5IH

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/7CFLG5IHFOBGXFK7RTW3AF5TBO \
  | 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: f88ab375072b826b955f8cedb017b30b8c8ff6d0da30a7e639200765f0e6cdfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf07bd331beaad24666084b01c52f7ad9090cf3d2d552f0edb82f54625f85420",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-04-09T04:11:32Z",
    "title_canon_sha256": "ae1ac6a27612a02929cb904c2d536c09168e9ab3b95ed5cfd4373acc4e445da7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1670",
    "kind": "arxiv",
    "version": 1
  }
}