Pith Number

pith:B4IMMN3J

pith:2026:B4IMMN3JGD4B4PL3VANAHGDFND

not attested not anchored not stored refs pending

Non-uniqueness of Brakke flows starting from minimal surfaces with singularities

Kotaro Motegi

arxiv:2608.13531 v1 · 2026-08-13 · 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{B4IMMN3JGD4B4PL3VANAHGDFND}

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	2026-08-14T01:24:58.586355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f10c6376930f81e3d7ba81a03986568ca223e64e54e6a1cce30365534d53d27

Aliases

arxiv: 2608.13531 · arxiv_version: 2608.13531v1 · doi: 10.48550/arxiv.2608.13531 · pith_short_12: B4IMMN3JGD4B · pith_short_16: B4IMMN3JGD4B4PL3 · pith_short_8: B4IMMN3J

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/B4IMMN3JGD4B4PL3VANAHGDFND \
  | 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: 0f10c6376930f81e3d7ba81a03986568ca223e64e54e6a1cce30365534d53d27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81e490bcd8294df28017186c2d02537c694ffbe9f5dee0669be3d1f3af8c6ad7",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-08-13T17:48:51Z",
    "title_canon_sha256": "e30623dd8eac7fe2daab18def73bd26467a1960b1ae2e796c51875abc1aaec0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13531",
    "kind": "arxiv",
    "version": 1
  }
}