Pith Number

pith:UGFON4XC

pith:2011:UGFON4XCH7KHG7J4BMFAVWRAN3

not attested not anchored not stored refs pending

Dagger closure and solid closure in graded dimension two

Axel St\"abler, Holger Brenner

arxiv:1104.3748 v1 · 2011-04-19 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UGFON4XCH7KHG7J4BMFAVWRAN3}

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	2026-05-18T04:23:55.746177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a18ae6f2e23fd4737d3c0b0a0ada206eeb584783b930c7fad99eb8509bc3031a

Aliases

arxiv: 1104.3748 · arxiv_version: 1104.3748v1 · doi: 10.48550/arxiv.1104.3748 · pith_short_12: UGFON4XCH7KH · pith_short_16: UGFON4XCH7KHG7J4 · pith_short_8: UGFON4XC

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/UGFON4XCH7KHG7J4BMFAVWRAN3 \
  | 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: a18ae6f2e23fd4737d3c0b0a0ada206eeb584783b930c7fad99eb8509bc3031a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e45ff8cb42116346ef7a5e820f50f29dd9c19b278d20b70978dbe337376ee678",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-19T13:50:19Z",
    "title_canon_sha256": "25d7047fffd05ecd8229fbd9ea6c9f81bda78cff7c5bb3fbb1a86498a9af1662"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3748",
    "kind": "arxiv",
    "version": 1
  }
}