Pith Number

pith:QNSKBKF4

pith:2015:QNSKBKF45ZID2ZPYR67SGL5YDX

not attested not anchored not stored refs pending

Singularities of the Lagrangian Mean Curvature Flow

Andrew A. Cooper

arxiv:1505.01856 v1 · 2015-05-07 · 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{QNSKBKF45ZID2ZPYR67SGL5YDX}

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	2026-05-18T02:16:38.699002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8364a0a8bcee503d65f88fbf232fb81dc62387442155d0cc78a299b9265b231c

Aliases

arxiv: 1505.01856 · arxiv_version: 1505.01856v1 · doi: 10.48550/arxiv.1505.01856 · pith_short_12: QNSKBKF45ZID · pith_short_16: QNSKBKF45ZID2ZPY · pith_short_8: QNSKBKF4

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/QNSKBKF45ZID2ZPYR67SGL5YDX \
  | 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: 8364a0a8bcee503d65f88fbf232fb81dc62387442155d0cc78a299b9265b231c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "093eb3c7de3eae63b1e40fc23e846ec0a05d3e364b60f227f1d1f54e3ddf7943",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-05-07T20:02:11Z",
    "title_canon_sha256": "8009b6805d9d9338596b2b2391e4ed23bfffbe0a3e2db7eee319a35b60d9295b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01856",
    "kind": "arxiv",
    "version": 1
  }
}