Pith Number

pith:UPJQ2CHU

pith:2018:UPJQ2CHUH542K2CEPILVK2I42Q

not attested not anchored not stored refs pending

Border Avoidance: Necessary Regularity for Coefficients and Viscosity Approach

Dan Goreac

arxiv:1805.09162 v2 · 2018-05-23 · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UPJQ2CHUH542K2CEPILVK2I42Q}

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	2026-05-18T00:08:20.656852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3d30d08f43f79a568447a1755691cd429346a0f4f925eaaaaf80608efc69d21

Aliases

arxiv: 1805.09162 · arxiv_version: 1805.09162v2 · doi: 10.48550/arxiv.1805.09162 · pith_short_12: UPJQ2CHUH542 · pith_short_16: UPJQ2CHUH542K2CE · pith_short_8: UPJQ2CHU

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/UPJQ2CHUH542K2CEPILVK2I42Q \
  | 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: a3d30d08f43f79a568447a1755691cd429346a0f4f925eaaaaf80608efc69d21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72f31aaca902eba2abfc776acd5ebf02965a2c3b1741d7da44438d7a665b77f7",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-05-23T13:42:16Z",
    "title_canon_sha256": "7fb70eff68e0e26b8c74a17fcf6c68f4f07ca7e094e6e4f5a381e6e4f2bb8860"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09162",
    "kind": "arxiv",
    "version": 2
  }
}