Pith Number

pith:ICWCXIF2

pith:2013:ICWCXIF27ZPIGLWLHMWBBCMFC7

not attested not anchored not stored refs pending

An immersed $S^2$ self-shrinker

Gregory Drugan

arxiv:1304.0032 v1 · 2013-03-29 · 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{ICWCXIF27ZPIGLWLHMWBBCMFC7}

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	2026-05-18T03:29:26.257404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40ac2ba0bafe5e832ecb3b2c10898517c4cc04855ad0d18d97091ca298a22c32

Aliases

arxiv: 1304.0032 · arxiv_version: 1304.0032v1 · doi: 10.48550/arxiv.1304.0032 · pith_short_12: ICWCXIF27ZPI · pith_short_16: ICWCXIF27ZPIGLWL · pith_short_8: ICWCXIF2

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/ICWCXIF27ZPIGLWLHMWBBCMFC7 \
  | 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: 40ac2ba0bafe5e832ecb3b2c10898517c4cc04855ad0d18d97091ca298a22c32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcb5d3d07dfb16dc2e20ae3c7a6a5dbe3a9868ace3796e7ffcb853dcf695657f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-03-29T21:40:49Z",
    "title_canon_sha256": "d5053fb12e8383668eb1fd7f3fca91407406c7c79d8bdc989d17c7a5997b0446"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0032",
    "kind": "arxiv",
    "version": 1
  }
}