Pith Number

pith:MMGBFCVF

pith:2023:MMGBFCVF6XZTSDPAVIMRNSABKW

not attested not anchored not stored refs pending

On the Multiplicity One Conjecture for Mean Curvature Flows of surfaces

Bruce Kleiner, Richard H Bamler

arxiv:2312.02106 v3 · 2023-12-04 · 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{MMGBFCVF6XZTSDPAVIMRNSABKW}

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.

Cited by

3 papers in Pith

Free boundary flow through cylindrical singularities

Mean convex flows with surgery

Min-Max Construction of Anisotropic Minimal Surfaces with Genus Bound

Receipt and verification

First computed	2026-07-05T09:34:10.685037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

630c128aa5f5f3390de0aa1916c80155ab4884b319a69148f19edcb7bda14c50

Aliases

arxiv: 2312.02106 · arxiv_version: 2312.02106v3 · doi: 10.48550/arxiv.2312.02106 · pith_short_12: MMGBFCVF6XZT · pith_short_16: MMGBFCVF6XZTSDPA · pith_short_8: MMGBFCVF

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/MMGBFCVF6XZTSDPAVIMRNSABKW \
  | 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: 630c128aa5f5f3390de0aa1916c80155ab4884b319a69148f19edcb7bda14c50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad6cd73738eb7db41c55b2429545bd34ce9a34b57648756302927386f4b6a28b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-12-04T18:34:47Z",
    "title_canon_sha256": "a57974ef64ca7ad88a70cd5eba302678258544db48fb30e2eeeb5cbe3d2f4603"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.02106",
    "kind": "arxiv",
    "version": 3
  }
}