Pith Number

pith:4GMNWGR3

pith:2003:4GMNWGR3ZFB33U3IWJT4EMX3KH

not attested not anchored not stored refs pending

On the monodromy of moduli spaces of sheaves on K3 surfaces

Eyal Markman

arxiv:math/0305042 v3 · 2003-05-01 · 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{4GMNWGR3ZFB33U3IWJT4EMX3KH}

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	2026-05-18T01:05:28.923126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e198db1a3bc943bdd368b267c232fb51e4f5607bc3cc7ac1c931e582d31591ea

Aliases

arxiv: math/0305042 · arxiv_version: math/0305042v3 · doi: 10.48550/arxiv.math/0305042 · pith_short_12: 4GMNWGR3ZFB3 · pith_short_16: 4GMNWGR3ZFB33U3I · pith_short_8: 4GMNWGR3

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/4GMNWGR3ZFB33U3IWJT4EMX3KH \
  | 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: e198db1a3bc943bdd368b267c232fb51e4f5607bc3cc7ac1c931e582d31591ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d066a03440375833fe1de8c8233dcfc446a133827a56c8ed56196fdf7de1741",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2003-05-01T21:26:36Z",
    "title_canon_sha256": "726a9fbbb66d631b8b8c54bfc5abc24519a800da6b4a8799f6c8f97e3dbbd1fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0305042",
    "kind": "arxiv",
    "version": 3
  }
}