Pith Number

pith:HWCBXKTL

pith:2018:HWCBXKTLGKPLV4H5HPCIVU7B2S

not attested not anchored not stored refs pending

Intuitive representation of local cohomology groups

Daichi Komori, Kohei Umeta

arxiv:1810.01357 v1 · 2018-10-01 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HWCBXKTLGKPLV4H5HPCIVU7B2S}

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	2026-05-18T00:04:18.167333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d841baa6b329ebaf0fd3bc48ad3e1d49f3fe7d6cca59e7953b27bb676a493ae

Aliases

arxiv: 1810.01357 · arxiv_version: 1810.01357v1 · doi: 10.48550/arxiv.1810.01357 · pith_short_12: HWCBXKTLGKPL · pith_short_16: HWCBXKTLGKPLV4H5 · pith_short_8: HWCBXKTL

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/HWCBXKTLGKPLV4H5HPCIVU7B2S \
  | 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: 3d841baa6b329ebaf0fd3bc48ad3e1d49f3fe7d6cca59e7953b27bb676a493ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56cb9df0b4ba8dd6df9ffdbd27ac8822e169138de0b02b80cea51ef932426c98",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-10-01T02:37:40Z",
    "title_canon_sha256": "b4979f384d5c1442fd5e9172e2c9545029cdbb66ff5ccc52e3df4b0ae9eb9986"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.01357",
    "kind": "arxiv",
    "version": 1
  }
}