Pith Number

pith:7R3KRIDF

pith:2024:7R3KRIDFWLVJ3H6UTNGX423DFQ

not attested not anchored not stored refs pending

Existence of monotone Morse flow lines of the expander functional

Jacob Bernstein, Letian Chen, Lu Wang

arxiv:2404.08541 v1 · 2024-04-12 · 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{7R3KRIDFWLVJ3H6UTNGX423DFQ}

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

Convexity of mean convex asymptotically conical self-expanders to the mean curvature flow

Receipt and verification

First computed	2026-07-05T08:07:23.333685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc76a8a065b2ea9d9fd49b4d7e6b632c1bae1db424524571d7d5d3e4472e5a33

Aliases

arxiv: 2404.08541 · arxiv_version: 2404.08541v1 · doi: 10.48550/arxiv.2404.08541 · pith_short_12: 7R3KRIDFWLVJ · pith_short_16: 7R3KRIDFWLVJ3H6U · pith_short_8: 7R3KRIDF

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/7R3KRIDFWLVJ3H6UTNGX423DFQ \
  | 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: fc76a8a065b2ea9d9fd49b4d7e6b632c1bae1db424524571d7d5d3e4472e5a33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3293f343e34bab939f0a914b45111cd51fe198436405d8464eb62b7ca8243d3",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-04-12T15:35:30Z",
    "title_canon_sha256": "881bc28e23223c44a529ad335ba83217411b96ad04bc6783d98a8ce936abfae9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.08541",
    "kind": "arxiv",
    "version": 1
  }
}