Pith Number

pith:HK6DPK3H

pith:2015:HK6DPK3HQKKZI6TJZUZGNM2RCQ

not attested not anchored not stored refs pending

Skeleton decomposition of linear operators in the theory of degenerate differential equations

D. Sidorov, N. Sidorov, Y. Li

arxiv:1511.08976 v2 · 2015-11-29 · math.CA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HK6DPK3HQKKZI6TJZUZGNM2RCQ}

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	2026-05-18T01:22:11.160258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3abc37ab678295947a69cd3266b35114263afa78cb45b16b113a7cc7f8672a52

Aliases

arxiv: 1511.08976 · arxiv_version: 1511.08976v2 · doi: 10.48550/arxiv.1511.08976 · pith_short_12: HK6DPK3HQKKZ · pith_short_16: HK6DPK3HQKKZI6TJ · pith_short_8: HK6DPK3H

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/HK6DPK3HQKKZI6TJZUZGNM2RCQ \
  | 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: 3abc37ab678295947a69cd3266b35114263afa78cb45b16b113a7cc7f8672a52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af6f70e670a5858749eba5fc1a3331740b9dec95a17bc6a999e2223c89c435b3",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-11-29T06:49:52Z",
    "title_canon_sha256": "9b520f6bb5d054af3044dc1ba2eb9d5d3321fc85478ffd62dc85e73d7c81ba8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08976",
    "kind": "arxiv",
    "version": 2
  }
}