Pith Number

pith:45W34OUI

pith:2025:45W34OUIV4UZXV5NLN7WBR6QCR

not attested not anchored not stored refs pending

An Ancient Stacked Pancake Solution to Mean Curvature Flow

Alexander Mramor, Louis Yudowitz

arxiv:2509.26515 v3 · 2025-09-30 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45W34OUIV4UZXV5NLN7WBR6QCR}

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	2026-07-07T03:18:49.495988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e76dbe3a88af299bd7ad5b7f60c7d01472279436f99ff32618a0f361b964c55f

Aliases

arxiv: 2509.26515 · arxiv_version: 2509.26515v3 · doi: 10.48550/arxiv.2509.26515 · pith_short_12: 45W34OUIV4UZ · pith_short_16: 45W34OUIV4UZXV5N · pith_short_8: 45W34OUI

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/45W34OUIV4UZXV5NLN7WBR6QCR \
  | 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: e76dbe3a88af299bd7ad5b7f60c7d01472279436f99ff32618a0f361b964c55f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d412aa89dab2135e75ec5b112e3f89f1565361b1c6a941d1faf19be0c2b86a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-09-30T16:52:18Z",
    "title_canon_sha256": "c1fc2d250464f3dc6a0c409f4f5e0d3704b53c18e096e4883023a942e3eed818"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.26515",
    "kind": "arxiv",
    "version": 3
  }
}