Pith Number

pith:D5QZBEYE

pith:2006:D5QZBEYELVHHKTXJ3QBYP5WMA2

not attested not anchored not stored refs pending

Minimal entropy and geometric decompositions in dimension four

Pablo Su\'arez-Serrato

arxiv:math/0601759 v3 · 2006-01-31 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D5QZBEYELVHHKTXJ3QBYP5WMA2}

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	2026-05-18T02:41:31.919578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f619093045d4e754ee9dc0387f6cc069dfe64c0d7045c059546c9ab30b323c9

Aliases

arxiv: math/0601759 · arxiv_version: math/0601759v3 · doi: 10.48550/arxiv.math/0601759 · pith_short_12: D5QZBEYELVHH · pith_short_16: D5QZBEYELVHHKTXJ · pith_short_8: D5QZBEYE

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/D5QZBEYELVHHKTXJ3QBYP5WMA2 \
  | 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: 1f619093045d4e754ee9dc0387f6cc069dfe64c0d7045c059546c9ab30b323c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7fd05a93a3b7618a2304e024e8332c2fa3b1af38e65cf0b048e7b4aecb262a2",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-01-31T10:45:15Z",
    "title_canon_sha256": "1ac67b2a3f5c9461f7b45ae41a12f8e6fc86a4e010ea8f848d1d513da37fa07d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601759",
    "kind": "arxiv",
    "version": 3
  }
}