Pith Number

pith:4KFEGQ5T

pith:2010:4KFEGQ5TWLQK444AJEW2A7AB3R

not attested not anchored not stored refs pending

On the self-shrinking systems in arbitrary codimension spaces

Qi Ding, Zhizhang Wang

arxiv:1012.0429 v2 · 2010-12-02 · 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{4KFEGQ5TWLQK444AJEW2A7AB3R}

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	2026-05-18T04:32:11.348944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e28a4343b3b2e0ae7380492da07c01dc425ec3aff1eda5005fd7357cea906ab5

Aliases

arxiv: 1012.0429 · arxiv_version: 1012.0429v2 · doi: 10.48550/arxiv.1012.0429 · pith_short_12: 4KFEGQ5TWLQK · pith_short_16: 4KFEGQ5TWLQK444A · pith_short_8: 4KFEGQ5T

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/4KFEGQ5TWLQK444AJEW2A7AB3R \
  | 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: e28a4343b3b2e0ae7380492da07c01dc425ec3aff1eda5005fd7357cea906ab5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09cec272eb88970c198f06de1ffac38d07c5b2047a6517f6d5671276f850961b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-02T14:21:30Z",
    "title_canon_sha256": "f7b8702166d71ba34cbe062c6ea3ce71e7058e4c9e33c68bc7ab8d4f17f9d080"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0429",
    "kind": "arxiv",
    "version": 2
  }
}