Pith Number

pith:SY3Y3IZH

pith:2016:SY3Y3IZH7AINOK3G6XYVNYHMRR

not attested not anchored not stored refs pending

On the extrema of a nonconvex functional with double-well potential in higher dimensions

David Yang Gao, Xiaojun Lu

arxiv:1607.03995 v1 · 2016-07-14 · 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{SY3Y3IZH7AINOK3G6XYVNYHMRR}

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	2026-05-18T01:11:04.366739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96378da327f810d72b66f5f156e0ec8c76f4c017d475f488d054b88d1e6aca4a

Aliases

arxiv: 1607.03995 · arxiv_version: 1607.03995v1 · doi: 10.48550/arxiv.1607.03995 · pith_short_12: SY3Y3IZH7AIN · pith_short_16: SY3Y3IZH7AINOK3G · pith_short_8: SY3Y3IZH

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/SY3Y3IZH7AINOK3G6XYVNYHMRR \
  | 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: 96378da327f810d72b66f5f156e0ec8c76f4c017d475f488d054b88d1e6aca4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "870b55d17f73f4b347852d3eb60519b340d1b44ff9eaab4b8ace1626ab947c4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-07-14T05:25:33Z",
    "title_canon_sha256": "4f4267ba721bd95c0d918ac75d9ee54f16cf662390f23260e59c198293eed249"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03995",
    "kind": "arxiv",
    "version": 1
  }
}