Pith Number

pith:4TMPCOHH

pith:2017:4TMPCOHH6SY2UQW4I5ST44BU7K

not attested not anchored not stored refs pending

On $H^2$-gradient Flows for the Willmore Energy

Henrik Schumacher

arxiv:1703.06469 v1 · 2017-03-19 · math.NA · math.DG · 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{4TMPCOHH6SY2UQW4I5ST44BU7K}

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	2026-05-18T00:48:22.760441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4d8f138e7f4b1aa42dc47653e7034fa9ec89096667d451d02baf645ce86eaf4

Aliases

arxiv: 1703.06469 · arxiv_version: 1703.06469v1 · doi: 10.48550/arxiv.1703.06469 · pith_short_12: 4TMPCOHH6SY2 · pith_short_16: 4TMPCOHH6SY2UQW4 · pith_short_8: 4TMPCOHH

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/4TMPCOHH6SY2UQW4I5ST44BU7K \
  | 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: e4d8f138e7f4b1aa42dc47653e7034fa9ec89096667d451d02baf645ce86eaf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01e42e8e46e8da0b5a70f39cb22ab2c5e3e2a0b399e0f3940ea1b4267cce6f0c",
    "cross_cats_sorted": [
      "math.DG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-03-19T17:23:12Z",
    "title_canon_sha256": "618b8c5a778668108a4c64bd44807a680c974c15474e4b91b76a982b4adf4a88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06469",
    "kind": "arxiv",
    "version": 1
  }
}