Pith Number

pith:MMGGDATB

pith:2017:MMGGDATBNGX54KZSGKSCREPGDL

not attested not anchored not stored refs pending

Relative Chow stability and optimal weights

Carl Tipler

arxiv:1710.02536 v2 · 2017-10-06 · math.DG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MMGGDATBNGX54KZSGKSCREPGDL}

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	2026-05-18T00:32:54.710753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

630c61826169afde2b3232a42891e61acf684fc1bc08b882e9a4d2e699c864b0

Aliases

arxiv: 1710.02536 · arxiv_version: 1710.02536v2 · doi: 10.48550/arxiv.1710.02536 · pith_short_12: MMGGDATBNGX5 · pith_short_16: MMGGDATBNGX54KZS · pith_short_8: MMGGDATB

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/MMGGDATBNGX54KZSGKSCREPGDL \
  | 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: 630c61826169afde2b3232a42891e61acf684fc1bc08b882e9a4d2e699c864b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70de20a1871adc2f6f7cffeba055b94b03ed80c882f406cb712b03ac02ef1ce1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-10-06T18:01:53Z",
    "title_canon_sha256": "930af11457ea97b7f4fb7f6cabe5ca0203790f54ae87982ea9ddaaf7d998d19d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02536",
    "kind": "arxiv",
    "version": 2
  }
}