Pith Number

pith:LMG3KOWP

pith:2019:LMG3KOWPGULDM67L2JYCNOQKSS

not attested not anchored not stored refs pending

Derived invariance of the numbers $h^{0,p}(X)$

Roland Abuaf

arxiv:1907.08721 v2 · 2019-07-19 · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LMG3KOWPGULDM67L2JYCNOQKSS}

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	2026-05-17T23:39:23.580211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b0db53acf3516367bebd27026ba0a949a3a968467fff3aeaea10fcda0c2cdfe

Aliases

arxiv: 1907.08721 · arxiv_version: 1907.08721v2 · doi: 10.48550/arxiv.1907.08721 · pith_short_12: LMG3KOWPGULD · pith_short_16: LMG3KOWPGULDM67L · pith_short_8: LMG3KOWP

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/LMG3KOWPGULDM67L2JYCNOQKSS \
  | 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: 5b0db53acf3516367bebd27026ba0a949a3a968467fff3aeaea10fcda0c2cdfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb955dd28736b44df49fed24643a14d00561b1d222d597f2fef11df6b98f31fd",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-07-19T22:55:25Z",
    "title_canon_sha256": "b3fbc209c5ab27e0257b74fc59e5635c5d5ef724e273ad9c23990591104d226c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08721",
    "kind": "arxiv",
    "version": 2
  }
}