Pith Number

pith:6YN4CZTF

pith:2025:6YN4CZTFPL4HMZCASRCKSQ2CTF

not attested not anchored not stored refs pending

The space-time-Grassmann measure of the Brakke flow

Myles Workman, Yu Tong Liu

arxiv:2512.19227 v2 · 2025-12-22 · 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{6YN4CZTFPL4HMZCASRCKSQ2CTF}

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

Parabolic rectifiability of the Brakke flow

Receipt and verification

First computed	2026-06-23T02:13:19.570868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f61bc166657af87664409444a943429945ad53afc50d1e9c4b307978ed19352d

Aliases

arxiv: 2512.19227 · arxiv_version: 2512.19227v2 · doi: 10.48550/arxiv.2512.19227 · pith_short_12: 6YN4CZTFPL4H · pith_short_16: 6YN4CZTFPL4HMZCA · pith_short_8: 6YN4CZTF

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/6YN4CZTFPL4HMZCASRCKSQ2CTF \
  | 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: f61bc166657af87664409444a943429945ad53afc50d1e9c4b307978ed19352d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c4efd2a580f8780a2c52e15b96dc4597e68afc749ffbc9d4b8df457811b3ce9",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-12-22T10:07:22Z",
    "title_canon_sha256": "3efecd9dd231aefd77eeb578df2ed8b284ca90a0e7fd9e64dd26ec0e15762cfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.19227",
    "kind": "arxiv",
    "version": 2
  }
}