Pith Number

pith:7HLDWC4P

pith:2025:7HLDWC4PSHFPWDPAQVH3ZX7D2H

not attested not anchored not stored refs pending

Quantitative uniqueness for mean curvature flow

Tobias Holck Colding, William P. Minicozzi II

arxiv:2502.03634 v1 · 2025-02-05 · 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{7HLDWC4PSHFPWDPAQVH3ZX7D2H}

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

1 paper in Pith

Singularities of Curve Shortening Flow with Convex Projections

Receipt and verification

First computed	2026-07-05T10:10:13.074773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9d63b0b8f91cafb0de0854fbcdfe3d1e3173e05cf9d0836b1f21a2125d8c91a

Aliases

arxiv: 2502.03634 · arxiv_version: 2502.03634v1 · doi: 10.48550/arxiv.2502.03634 · pith_short_12: 7HLDWC4PSHFP · pith_short_16: 7HLDWC4PSHFPWDPA · pith_short_8: 7HLDWC4P

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/7HLDWC4PSHFPWDPAQVH3ZX7D2H \
  | 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: f9d63b0b8f91cafb0de0854fbcdfe3d1e3173e05cf9d0836b1f21a2125d8c91a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48551428771afb3b2fede75592c2e49420a653fe12a4f59826f4c918729cdb2b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-02-05T21:44:20Z",
    "title_canon_sha256": "ad7d4b4473b08f4bee7c991509d8a9a90e9b6ea821189b3b1e4bb983acbef57e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.03634",
    "kind": "arxiv",
    "version": 1
  }
}