Pith Number

pith:G2JT7M7W

pith:2019:G2JT7M7WFST53YZ6BDBVQNY3JA

not attested not anchored not stored refs pending

Probabilistic Saturations and Alt's Problem

Jonathan D. Hauenstein, Martin Helmer

arxiv:1908.06020 v1 · 2019-08-15 · math.AG · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G2JT7M7WFST53YZ6BDBVQNY3JA}

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	2026-07-05T00:52:36.257050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36933fb3f62ca7dde33e08c358371b483c7a1ef1b71674cc30c31f4f59b8198d

Aliases

arxiv: 1908.06020 · arxiv_version: 1908.06020v1 · doi: 10.48550/arxiv.1908.06020 · pith_short_12: G2JT7M7WFST5 · pith_short_16: G2JT7M7WFST53YZ6 · pith_short_8: G2JT7M7W

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/G2JT7M7WFST53YZ6BDBVQNY3JA \
  | 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: 36933fb3f62ca7dde33e08c358371b483c7a1ef1b71674cc30c31f4f59b8198d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08804b2c4836d9a801b0434900033442cc5d837533bb01b555cad740e99fd429",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-08-15T03:12:22Z",
    "title_canon_sha256": "f096c874013b3a96b065c09d8e4666946aefe04fda1f1b649b36259403b4b7df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06020",
    "kind": "arxiv",
    "version": 1
  }
}