Pith Number

pith:DSO5IHGU

pith:2018:DSO5IHGUEABLDX6Y6NAHG7AH7H

not attested not anchored not stored refs pending

Compactness of self-shrinkers in $\mathbb R^3$ with fixed genus

Ao Sun, Zhichao Wang

arxiv:1811.05387 v2 · 2018-11-13 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DSO5IHGUEABLDX6Y6NAHG7AH7H}

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	2026-07-05T00:22:36.273747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c9dd41cd42002b1dfd8f340737c07f9ebb9b0bc24506a18524ae80de3354586

Aliases

arxiv: 1811.05387 · arxiv_version: 1811.05387v2 · doi: 10.48550/arxiv.1811.05387 · pith_short_12: DSO5IHGUEABL · pith_short_16: DSO5IHGUEABLDX6Y · pith_short_8: DSO5IHGU

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/DSO5IHGUEABLDX6Y6NAHG7AH7H \
  | 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: 1c9dd41cd42002b1dfd8f340737c07f9ebb9b0bc24506a18524ae80de3354586

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1d1d231bd6643f911c3fad912052f9b86765491b96e3735e4fc9ec32f062d4e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-11-13T16:25:35Z",
    "title_canon_sha256": "e481822c2cdcfad4bbfd8ee1b9d0cfa0da59583ea508c284cf8e0c1d94c4b643"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.05387",
    "kind": "arxiv",
    "version": 2
  }
}