Pith Number

pith:5T3UF323

pith:2015:5T3UF323JLTKRA5W4GCVPDCPAP

not attested not anchored not stored refs pending

Stability of a natural sheaf over the cartesian square of the Hilbert scheme of points on a K3 surface

Eyal Markman

arxiv:1506.06191 v3 · 2015-06-20 · 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{5T3UF323JLTKRA5W4GCVPDCPAP}

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	2026-05-18T00:44:58.366611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecf742ef5b4ae6a883b6e185578c4f03cbfefe4ffde2880c77e7c97eb0cc230a

Aliases

arxiv: 1506.06191 · arxiv_version: 1506.06191v3 · doi: 10.48550/arxiv.1506.06191 · pith_short_12: 5T3UF323JLTK · pith_short_16: 5T3UF323JLTKRA5W · pith_short_8: 5T3UF323

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/5T3UF323JLTKRA5W4GCVPDCPAP \
  | 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: ecf742ef5b4ae6a883b6e185578c4f03cbfefe4ffde2880c77e7c97eb0cc230a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8d435e05ae027b8bd0de9212f7d0f42369f21a85b3297c928e357910346b102",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-06-20T01:48:55Z",
    "title_canon_sha256": "aa5a7d33c169e001d61a099427670c58539ab048112078f5dccdb2fa8f3f4b46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06191",
    "kind": "arxiv",
    "version": 3
  }
}