Pith Number

pith:6XSHJQPG

pith:2018:6XSHJQPGPRQF7PJE2BGW7AABJL

not attested not anchored not stored refs pending

Bounding the Betti numbers of real hypersurfaces near the tropical limit

Arthur Renaudineau, Kristin Shaw

arxiv:1805.02030 v2 · 2018-05-05 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6XSHJQPGPRQF7PJE2BGW7AABJL}

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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.

Cited by

1 paper in Pith

Real Lagrangians in Calabi-Yau Threefolds

Receipt and verification

First computed	2026-07-05T00:18:49.086131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5e474c1e67c605fbd24d04d6f80014af49098f1f44d5e8b73564b45411b3a2f

Aliases

arxiv: 1805.02030 · arxiv_version: 1805.02030v2 · doi: 10.48550/arxiv.1805.02030 · pith_short_12: 6XSHJQPGPRQF · pith_short_16: 6XSHJQPGPRQF7PJE · pith_short_8: 6XSHJQPG

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/6XSHJQPGPRQF7PJE2BGW7AABJL \
  | 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: f5e474c1e67c605fbd24d04d6f80014af49098f1f44d5e8b73564b45411b3a2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd36c4fd496a67c4e497c14274df1b00c4a8f5e4250df9cf6ac2f505899982a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-05-05T09:37:37Z",
    "title_canon_sha256": "b0a0b19ce664b05a5b26b7b3695bde39e921f912f29ce1829a1ca06d9ff3e66a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02030",
    "kind": "arxiv",
    "version": 2
  }
}