Pith Number

pith:5DQ3KEAY

pith:2018:5DQ3KEAY5HVA5IYSBOC2ALBEYC

not attested not anchored not stored refs pending

Smooth compactness for spaces of asymptotically conical self-expanders of mean curvature flow

Jacob Bernstein, Lu Wang

arxiv:1804.09076 v2 · 2018-04-24 · 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{5DQ3KEAY5HVA5IYSBOC2ALBEYC}

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	2026-05-18T00:10:10.292398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8e1b51018e9ea0ea3120b85a02c24c0bf2e03ce21108d22f9b9040fc703a4cc

Aliases

arxiv: 1804.09076 · arxiv_version: 1804.09076v2 · doi: 10.48550/arxiv.1804.09076 · pith_short_12: 5DQ3KEAY5HVA · pith_short_16: 5DQ3KEAY5HVA5IYS · pith_short_8: 5DQ3KEAY

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/5DQ3KEAY5HVA5IYSBOC2ALBEYC \
  | 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: e8e1b51018e9ea0ea3120b85a02c24c0bf2e03ce21108d22f9b9040fc703a4cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f29da756f140e20397883b23424c31f2b12773651414bccc178e53cc7275d08",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-04-24T14:53:33Z",
    "title_canon_sha256": "38ad76afd5af9ac0ecd3be2edf29a1793b52612249ceffbc9c42aa20f9006ac1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.09076",
    "kind": "arxiv",
    "version": 2
  }
}