Pith Number

pith:M4MGRN2O

pith:2016:M4MGRN2ORV5RI6QRABIW2PN6TU

not attested not anchored not stored refs pending

Nef divisors for moduli spaces of complexes with compact support

Alastair Craw, Arend Bayer, Ziyu Zhang

arxiv:1602.00863 v2 · 2016-02-02 · 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{M4MGRN2ORV5RI6QRABIW2PN6TU}

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	2026-05-18T01:01:00.361515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

671868b74e8d7b147a1100516d3dbe9d0a3d19960eca8895e36f76bc6f80c41c

Aliases

arxiv: 1602.00863 · arxiv_version: 1602.00863v2 · doi: 10.48550/arxiv.1602.00863 · pith_short_12: M4MGRN2ORV5R · pith_short_16: M4MGRN2ORV5RI6QR · pith_short_8: M4MGRN2O

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/M4MGRN2ORV5RI6QRABIW2PN6TU \
  | 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: 671868b74e8d7b147a1100516d3dbe9d0a3d19960eca8895e36f76bc6f80c41c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd97fc6186675622ea9563f75905d28d9186bb467f209886c1230fda38e193db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-02-02T10:16:27Z",
    "title_canon_sha256": "ab86491ff2406a2903539f04d2a53964de374a4e6dd7fe8a39f1203ad5f2c56c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00863",
    "kind": "arxiv",
    "version": 2
  }
}