Pith Number

pith:YQJNOLDM

pith:2020:YQJNOLDMQBIJJ7KPRIQUAMXUXC

not attested not anchored not stored refs pending

On sheaves of Lie-Rinehart algebras

Joel Villatoro

arxiv:2010.15463 v2 · 2020-10-29 · 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{YQJNOLDMQBIJJ7KPRIQUAMXUXC}

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	2026-07-05T02:38:09.212543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c412d72c6c805094fd4f8a214032f4b8b550e65b320f08eacf2f8f67c6cdd1e7

Aliases

arxiv: 2010.15463 · arxiv_version: 2010.15463v2 · doi: 10.48550/arxiv.2010.15463 · pith_short_12: YQJNOLDMQBIJ · pith_short_16: YQJNOLDMQBIJJ7KP · pith_short_8: YQJNOLDM

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/YQJNOLDMQBIJJ7KPRIQUAMXUXC \
  | 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: c412d72c6c805094fd4f8a214032f4b8b550e65b320f08eacf2f8f67c6cdd1e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c52be8a3d72983623d6d998c16fedb44866e6f1e9a7a86d789e5525f91f31d7",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-10-29T10:20:33Z",
    "title_canon_sha256": "89d19ec0139c7f9f462a48156e6f7ab8d79e0e5fb13c0cfdbbf091171b2249e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.15463",
    "kind": "arxiv",
    "version": 2
  }
}