Pith Number

pith:BHGBG6CC

pith:2015:BHGBG6CCOO2LXDXQDNUGQOVOJS

not attested not anchored not stored refs pending

Unique continuation estimates for the Kolmogorov equation in the whole space

Yubiao Zhang

arxiv:1509.08292 v1 · 2015-09-28 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BHGBG6CCOO2LXDXQDNUGQOVOJS}

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	2026-05-18T01:31:54.241219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09cc13784273b4bb8ef01b68683aae4cb1048273e0e5172b6f39c03287a9f77e

Aliases

arxiv: 1509.08292 · arxiv_version: 1509.08292v1 · doi: 10.48550/arxiv.1509.08292 · pith_short_12: BHGBG6CCOO2L · pith_short_16: BHGBG6CCOO2LXDXQ · pith_short_8: BHGBG6CC

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/BHGBG6CCOO2LXDXQDNUGQOVOJS \
  | 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: 09cc13784273b4bb8ef01b68683aae4cb1048273e0e5172b6f39c03287a9f77e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc2394eaa1bb9e959e29a1d822ce61baad30f549576a47c60d9672f4e74e3a18",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-28T12:24:37Z",
    "title_canon_sha256": "a2dfce12b69d2454d9b014c2e582198ee079b9b2aa0348485f4b4bbebbefc4c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08292",
    "kind": "arxiv",
    "version": 1
  }
}