Pith Number

pith:ARXXRKMR

pith:2026:ARXXRKMRGVOGGZY6XCW2UFKSCN

not attested not anchored not stored refs pending

Parabolic rectifiability of the Brakke flow

Myles Workman, Yu Tong Liu

arxiv:2606.22441 v1 · 2026-06-21 · 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{ARXXRKMRGVOGGZY6XCW2UFKSCN}

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	2026-06-23T02:13:38.498565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

046f78a991355c63671eb8adaa1552134d990d28458419342127fbcd5d61d3b1

Aliases

arxiv: 2606.22441 · arxiv_version: 2606.22441v1 · doi: 10.48550/arxiv.2606.22441 · pith_short_12: ARXXRKMRGVOG · pith_short_16: ARXXRKMRGVOGGZY6 · pith_short_8: ARXXRKMR

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/ARXXRKMRGVOGGZY6XCW2UFKSCN \
  | 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: 046f78a991355c63671eb8adaa1552134d990d28458419342127fbcd5d61d3b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8ebe684935c540ba397d21d3756d4561d3860388e6b0e2ab4316d24a3e31a00",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-21T11:13:38Z",
    "title_canon_sha256": "64a8f5e7fa0250d0665b30331ec1eda76a324dc0996e276316861b0ef691ec4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22441",
    "kind": "arxiv",
    "version": 1
  }
}