Pith Number

pith:OTAL675T

pith:2020:OTAL675THM3ON3FBL5YGC4TFOJ

not attested not anchored not stored refs pending

Metric entropy for Hamilton-Jacobi equation with uniformly directionally convex Hamiltonian

Khai T. Nguyen, Prerona Dutta, Stefano Bianchini

arxiv:2012.10577 v4 · 2020-12-19 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OTAL675THM3ON3FBL5YGC4TFOJ}

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	2026-07-05T03:52:55.131557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74c0bf7fb33b36e6eca15f70617265727c9bb746c338ed183ade757d7ba4d038

Aliases

arxiv: 2012.10577 · arxiv_version: 2012.10577v4 · doi: 10.48550/arxiv.2012.10577 · pith_short_12: OTAL675THM3O · pith_short_16: OTAL675THM3ON3FB · pith_short_8: OTAL675T

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/OTAL675THM3ON3FBL5YGC4TFOJ \
  | 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: 74c0bf7fb33b36e6eca15f70617265727c9bb746c338ed183ade757d7ba4d038

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e352ad3bca55265d787dcab81f56354eefdb96228e862daad0273db1b30c50f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-12-19T02:21:34Z",
    "title_canon_sha256": "c341d8a72a79b72bfc41b1ce4ed3148149556a6da010123f5cad2aba2e6d5317"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.10577",
    "kind": "arxiv",
    "version": 4
  }
}