Pith Number

pith:BGWCBAF4

pith:2017:BGWCBAF44O35THR63H364JWJL6

not attested not anchored not stored refs pending

Min-max formulas and other properties of certain classes of nonconvex effective Hamiltonians

Hung V. Tran, Jianliang Qian, Yifeng Yu

arxiv:1701.01065 v1 · 2017-01-04 · math.AP · math.NA · 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{BGWCBAF44O35THR63H364JWJL6}

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	2026-05-18T00:53:21.541336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09ac2080bce3b7d99e3ed9f7ee26c95f89ecc29e1db2afa848b9a353ecabfb62

Aliases

arxiv: 1701.01065 · arxiv_version: 1701.01065v1 · doi: 10.48550/arxiv.1701.01065 · pith_short_12: BGWCBAF44O35 · pith_short_16: BGWCBAF44O35THR6 · pith_short_8: BGWCBAF4

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/BGWCBAF44O35THR63H364JWJL6 \
  | 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: 09ac2080bce3b7d99e3ed9f7ee26c95f89ecc29e1db2afa848b9a353ecabfb62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99519f1174245d24f6c91f143f6a9f9946a45c7cd65efb52cbd79b3823e86e77",
    "cross_cats_sorted": [
      "math.NA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-01-04T16:31:36Z",
    "title_canon_sha256": "1ac80756d8a92ff8a412ce1afa9b870411f6a667cf944d003bb351495889b483"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01065",
    "kind": "arxiv",
    "version": 1
  }
}