Pith Number

pith:UR65VXI5

pith:2021:UR65VXI5JKO2HL2KPVEFNWQL2L

not attested not anchored not stored refs pending

A new varifold solution concept for mean curvature flow: Convergence of the Allen-Cahn equation and weak-strong uniqueness

Sebastian Hensel, Tim Laux

arxiv:2109.04233 v2 · 2021-09-09 · math.AP · 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{UR65VXI5JKO2HL2KPVEFNWQL2L}

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	2026-07-05T03:17:33.617502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a47ddadd1d4a9da3af4a7d4856da0bd2e19129c210513d80d884c79d7a542154

Aliases

arxiv: 2109.04233 · arxiv_version: 2109.04233v2 · doi: 10.48550/arxiv.2109.04233 · pith_short_12: UR65VXI5JKO2 · pith_short_16: UR65VXI5JKO2HL2K · pith_short_8: UR65VXI5

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/UR65VXI5JKO2HL2KPVEFNWQL2L \
  | 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: a47ddadd1d4a9da3af4a7d4856da0bd2e19129c210513d80d884c79d7a542154

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9943d495a269ebac24f9b03b5ed9a868484a9d11807648f0ffaf63e7f619d88",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-09-09T12:52:06Z",
    "title_canon_sha256": "7def700491ca005c58da1b3466d33f8e66a81a09442b11668c3ae7df2dc9fd97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.04233",
    "kind": "arxiv",
    "version": 2
  }
}