Pith Number

pith:HPRMOK4F

pith:2018:HPRMOK4FZCMLHO7KN6J7IAEYC3

not attested not anchored not stored refs pending

Sharp Entropy Bounds for Plane Curves and Dynamics of the Curve Shortening Flow

Ao Sun, Julius Baldauf

arxiv:1808.03936 v2 · 2018-08-12 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HPRMOK4FZCMLHO7KN6J7IAEYC3}

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	2026-07-05T02:01:59.479263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3be2c72b85c898b3bbea6f93f4009816deaa78dd19f5b4fa1e5143cd2d90eda7

Aliases

arxiv: 1808.03936 · arxiv_version: 1808.03936v2 · doi: 10.48550/arxiv.1808.03936 · pith_short_12: HPRMOK4FZCML · pith_short_16: HPRMOK4FZCMLHO7K · pith_short_8: HPRMOK4F

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/HPRMOK4FZCMLHO7KN6J7IAEYC3 \
  | 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: 3be2c72b85c898b3bbea6f93f4009816deaa78dd19f5b4fa1e5143cd2d90eda7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3e08e74626c90b043008f63491f67ce00afcbe9a7b46fcc15625452c6e33242",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-08-12T13:20:37Z",
    "title_canon_sha256": "e734673cff52c8b4e9b0cebd752b1772c0de390c6a822093e0018bc2a13b1736"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03936",
    "kind": "arxiv",
    "version": 2
  }
}