Pith Number

pith:RFRRVJE2

pith:2016:RFRRVJE2YFVHEQ4WSOBTRJWKGV

not attested not anchored not stored refs pending

Two infinite series of moduli spaces of rank 2 sheaves on $\mathbb{P}^3$

Alexander S. Tikhomirov, Dimitri Markushevich, Marcos Jardim

arxiv:1604.01605 v2 · 2016-04-06 · 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{RFRRVJE2YFVHEQ4WSOBTRJWKGV}

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	2026-05-17T23:59:54.094563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89631aa49ac16a724396938338a6ca35641242ab686b9849936182f659aad17a

Aliases

arxiv: 1604.01605 · arxiv_version: 1604.01605v2 · doi: 10.48550/arxiv.1604.01605 · pith_short_12: RFRRVJE2YFVH · pith_short_16: RFRRVJE2YFVHEQ4W · pith_short_8: RFRRVJE2

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/RFRRVJE2YFVHEQ4WSOBTRJWKGV \
  | 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: 89631aa49ac16a724396938338a6ca35641242ab686b9849936182f659aad17a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5067b3509615ba30741990dbdf7d94f33d0ffcd237e2722fb183d41a120d92e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-04-06T13:17:39Z",
    "title_canon_sha256": "13b5a82a15895110e1e7735dd20dd2adcaee13d9befe6d692b5e1dc85c1bcaf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01605",
    "kind": "arxiv",
    "version": 2
  }
}