Pith Number

pith:7YGOCCGU

pith:2013:7YGOCCGUWBKRLZJECKJBTEWMQU

not attested not anchored not stored refs pending

Immersed self-shrinkers

Gregory Drugan, Stephen J. Kleene

arxiv:1306.2383 v1 · 2013-06-10 · 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{7YGOCCGUWBKRLZJECKJBTEWMQU}

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	2026-05-18T03:21:21.149639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe0ce108d4b05515e52412921992cc8513f2604ef92c1892268d2c232d6a3445

Aliases

arxiv: 1306.2383 · arxiv_version: 1306.2383v1 · doi: 10.48550/arxiv.1306.2383 · pith_short_12: 7YGOCCGUWBKR · pith_short_16: 7YGOCCGUWBKRLZJE · pith_short_8: 7YGOCCGU

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/7YGOCCGUWBKRLZJECKJBTEWMQU \
  | 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: fe0ce108d4b05515e52412921992cc8513f2604ef92c1892268d2c232d6a3445

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd4a87d8d406398c6f124fb6f64693b524db405952c57abe48be8bb34d3b6b70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-06-10T23:31:41Z",
    "title_canon_sha256": "f59b4c36010e418aa3291e314d9a1d59380d723a4ae0a4ed1ee767b684870266"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2383",
    "kind": "arxiv",
    "version": 1
  }
}