Pith Number

pith:MZIZBOQI

pith:2010:MZIZBOQIRE4HJ4NLGYC6IUQBTI

not attested not anchored not stored refs pending

Singular open book structures from real mappings

Mihai Tibar, Raimundo N. Ara\'ujo dos Santos, Ying Chen

arxiv:1011.1757 v3 · 2010-11-08 · 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{MZIZBOQIRE4HJ4NLGYC6IUQBTI}

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	2026-05-18T00:33:44.543540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

665190ba08893874f1ab3605e452019a08ace575ef17b0245c05227cda1c8a51

Aliases

arxiv: 1011.1757 · arxiv_version: 1011.1757v3 · doi: 10.48550/arxiv.1011.1757 · pith_short_12: MZIZBOQIRE4H · pith_short_16: MZIZBOQIRE4HJ4NL · pith_short_8: MZIZBOQI

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/MZIZBOQIRE4HJ4NLGYC6IUQBTI \
  | 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: 665190ba08893874f1ab3605e452019a08ace575ef17b0245c05227cda1c8a51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "583b05d2537b1d1a8bf44a5f1e6b48ab0387237b27e981fe1f66ea8ae412b5d7",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-08T10:30:15Z",
    "title_canon_sha256": "f68ab9a18705301cc961c0b5c52dd1ae49acf77d3223cdfe97f2f9179c4f2b60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1757",
    "kind": "arxiv",
    "version": 3
  }
}