Pith Number

pith:MGAPXC5S

pith:2015:MGAPXC5SLUS7H2PQEYXHYDG4HH

not attested not anchored not stored refs pending

Boundness of $b_2$ for hyperk\"ahler manifolds with vanishing odd-Betti numbers

Nikon Kurnosov

arxiv:1511.02838 v1 · 2015-11-09 · 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{MGAPXC5SLUS7H2PQEYXHYDG4HH}

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	2026-05-18T01:27:29.215467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6180fb8bb25d25f3e9f0262e7c0cdc39f14538ed4219e77ac345af877f4ec940

Aliases

arxiv: 1511.02838 · arxiv_version: 1511.02838v1 · doi: 10.48550/arxiv.1511.02838 · pith_short_12: MGAPXC5SLUS7 · pith_short_16: MGAPXC5SLUS7H2PQ · pith_short_8: MGAPXC5S

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/MGAPXC5SLUS7H2PQEYXHYDG4HH \
  | 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: 6180fb8bb25d25f3e9f0262e7c0cdc39f14538ed4219e77ac345af877f4ec940

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35c4671e760b8ac26ada78f7d297d0af04e01739300ce84a960abac6d13baa44",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-09T20:46:53Z",
    "title_canon_sha256": "9d52e0b9fc200cd241c8feb220eaa7c68abe1e95d7fbc7ed563b43bd9de806e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02838",
    "kind": "arxiv",
    "version": 1
  }
}