Pith Number

pith:TA4GDOUL

pith:2012:TA4GDOULSGC3SOONDKTAWNMKGG

not attested not anchored not stored refs pending

Mean curvature flow with triple junctions in higher space dimensions

Daniel Depner, Harald Garcke, Yoshihito Kohsaka

arxiv:1207.2351 v1 · 2012-07-10 · 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{TA4GDOULSGC3SOONDKTAWNMKGG}

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	2026-05-18T01:56:25.864768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

983861ba8b9185b939cd1aa60b358a31a612d4c52c84444c7a67ae2a1df8e9bb

Aliases

arxiv: 1207.2351 · arxiv_version: 1207.2351v1 · doi: 10.48550/arxiv.1207.2351 · pith_short_12: TA4GDOULSGC3 · pith_short_16: TA4GDOULSGC3SOON · pith_short_8: TA4GDOUL

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/TA4GDOULSGC3SOONDKTAWNMKGG \
  | 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: 983861ba8b9185b939cd1aa60b358a31a612d4c52c84444c7a67ae2a1df8e9bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98dd009e327c92dcc8ea2028948a81575fbda125a40f9ebd0e32633a0068a799",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-10T13:47:25Z",
    "title_canon_sha256": "3da3d5c4d0073ed0b80b726a420e6ba13fec2d67610e73e23e59fbf179868e3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2351",
    "kind": "arxiv",
    "version": 1
  }
}