Pith Number

pith:4IJLVNXF

pith:2013:4IJLVNXFALYOJSC6HGYPU3FCOG

not attested not anchored not stored refs pending

Minding's Theorem for Low Degrees of Differentiability

Ivan Sterling, Josef F. Dorfmeister

arxiv:1306.6365 v1 · 2013-06-26 · 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{4IJLVNXFALYOJSC6HGYPU3FCOG}

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	2026-05-18T03:19:44.994576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e212bab6e502f0e4c85e39b0fa6ca2718c3a56df4bc17f10238d19cbaf61b7ed

Aliases

arxiv: 1306.6365 · arxiv_version: 1306.6365v1 · doi: 10.48550/arxiv.1306.6365 · pith_short_12: 4IJLVNXFALYO · pith_short_16: 4IJLVNXFALYOJSC6 · pith_short_8: 4IJLVNXF

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/4IJLVNXFALYOJSC6HGYPU3FCOG \
  | 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: e212bab6e502f0e4c85e39b0fa6ca2718c3a56df4bc17f10238d19cbaf61b7ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb0ac10a4fcf92d2a78688484decfba4de7b2709fce4616aa2bb42476acfec83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-06-26T21:31:07Z",
    "title_canon_sha256": "79508dcb8a062ed64a3f428c836c7708dea762228f566cd7e475bc17c63e55c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6365",
    "kind": "arxiv",
    "version": 1
  }
}