Pith Number

pith:N4LEAYVO

pith:2026:N4LEAYVOIJQVTWPZJR5F522YPX

not attested not anchored not stored refs pending

Infinite-Time Singularities with Vanishing Mean Curvature for Lagrangian Mean Curvature Flow in Gibbons--Hawking Spaces

Chung-Jun Tsai, Ping-Hung Lee

arxiv:2606.28767 v1 · 2026-06-27 · math.DG · math.AP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N4LEAYVOIJQVTWPZJR5F522YPX}

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	2026-06-30T01:16:51.181792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f164062ae426159d9f94c7a5eeb587df19316fa376e2525a15f76b3bdd4c660

Aliases

arxiv: 2606.28767 · arxiv_version: 2606.28767v1 · doi: 10.48550/arxiv.2606.28767 · pith_short_12: N4LEAYVOIJQV · pith_short_16: N4LEAYVOIJQVTWPZ · pith_short_8: N4LEAYVO

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/N4LEAYVOIJQVTWPZJR5F522YPX \
  | 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: 6f164062ae426159d9f94c7a5eeb587df19316fa376e2525a15f76b3bdd4c660

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "061dcd3dcb83fbac70965dcd5af959f1bd232de9c49c1254a7cae3cef12318ca",
    "cross_cats_sorted": [
      "math.AP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-27T06:49:57Z",
    "title_canon_sha256": "79ab37c30409c22d2a449fdef25ad2adc143b48609e7e9a6d8940288eadb920b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28767",
    "kind": "arxiv",
    "version": 1
  }
}