Pith Number

pith:XNI7WV5M

pith:2015:XNI7WV5MBECKU5WOBWCAXDCUJP

not attested not anchored not stored refs pending

On the mean curvature flow of grain boundaries

Lami Kim, Yoshihiro Tonegawa

arxiv:1511.02572 v2 · 2015-11-09 · math.DG · 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{XNI7WV5MBECKU5WOBWCAXDCUJP}

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	2026-05-18T00:06:31.217351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb51fb57ac0904aa76ce0d840b8c544bc7eaac359ce92dca33a05eac72cda860

Aliases

arxiv: 1511.02572 · arxiv_version: 1511.02572v2 · doi: 10.48550/arxiv.1511.02572 · pith_short_12: XNI7WV5MBECK · pith_short_16: XNI7WV5MBECKU5WO · pith_short_8: XNI7WV5M

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/XNI7WV5MBECKU5WOBWCAXDCUJP \
  | 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: bb51fb57ac0904aa76ce0d840b8c544bc7eaac359ce92dca33a05eac72cda860

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad92957ac7ce1027911610080caad0221c451c51a5a73f6bd87fa9f31cb3caa9",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-11-09T05:42:20Z",
    "title_canon_sha256": "d594db63c827ccc8b3d5350f3335bfc9ec1ed4c7dd8ed51c63a55a3245e5b304"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02572",
    "kind": "arxiv",
    "version": 2
  }
}