Pith Number

pith:E6NQ4EG4

pith:2012:E6NQ4EG44WPDBSFPU7IY5VLJUS

not attested not anchored not stored refs pending

Quantitative Stratification and the Regularity of Mean Curvature Flow

Aaron Naber, Jeff Cheeger, Robert Haslhofer

arxiv:1207.3619 v2 · 2012-07-16 · 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{E6NQ4EG44WPDBSFPU7IY5VLJUS}

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	2026-05-18T03:41:58.484170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

279b0e10dce59e30c8afa7d18ed569a4bbab309458cc8e3b94b26bae07d965e0

Aliases

arxiv: 1207.3619 · arxiv_version: 1207.3619v2 · doi: 10.48550/arxiv.1207.3619 · pith_short_12: E6NQ4EG44WPD · pith_short_16: E6NQ4EG44WPDBSFP · pith_short_8: E6NQ4EG4

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/E6NQ4EG44WPDBSFPU7IY5VLJUS \
  | 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: 279b0e10dce59e30c8afa7d18ed569a4bbab309458cc8e3b94b26bae07d965e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ea282d7044596f980a2c6af46800e09d54d4cafe5a86d6dd981ff35c994e973",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-16T10:14:32Z",
    "title_canon_sha256": "bfcc4c67cb232c4e3b4a6d3712f05147d5c6ccf3b01b95098d2a300b783737c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3619",
    "kind": "arxiv",
    "version": 2
  }
}