Pith Number

pith:E6LHFDBT

pith:2011:E6LHFDBTDC3BNWNLZ37SAAMQFF

not attested not anchored not stored refs pending

Continuous closure, axes closure, and natural closure

Melvin Hochster, Neil Epstein

arxiv:1106.3462 v2 · 2011-06-17 · math.AC · 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{E6LHFDBTDC3BNWNLZ37SAAMQFF}

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	2026-05-18T01:37:29.100744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2796728c3318b616d9abceff200190297a63be76ff01accc100222bb9963eb1a

Aliases

arxiv: 1106.3462 · arxiv_version: 1106.3462v2 · doi: 10.48550/arxiv.1106.3462 · pith_short_12: E6LHFDBTDC3B · pith_short_16: E6LHFDBTDC3BNWNL · pith_short_8: E6LHFDBT

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/E6LHFDBTDC3BNWNLZ37SAAMQFF \
  | 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: 2796728c3318b616d9abceff200190297a63be76ff01accc100222bb9963eb1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fff3eca7111101c349cd8c8cd2444309fe1f111d4c947a85f2ce23d7c200d35c",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-06-17T12:18:47Z",
    "title_canon_sha256": "dc987af5a03212acba6249c7e2771c1a0626a880c4a253b52e544efe4be6564d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3462",
    "kind": "arxiv",
    "version": 2
  }
}