Pith Number

pith:2U5ZQQRZ

pith:2014:2U5ZQQRZVR5Q5ZBEDEADXBD3TE

not attested not anchored not stored refs pending

Universal moduli spaces of vector bundles and the log-minimal model program on the moduli of curves

Matthew Grimes

arxiv:1409.5734 v2 · 2014-09-19 · 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{2U5ZQQRZVR5Q5ZBEDEADXBD3TE}

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	2026-05-18T00:16:15.037024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d53b984239ac7b0ee42419003b847b991a5ff82d823883fe88243d7bb79f9e95

Aliases

arxiv: 1409.5734 · arxiv_version: 1409.5734v2 · doi: 10.48550/arxiv.1409.5734 · pith_short_12: 2U5ZQQRZVR5Q · pith_short_16: 2U5ZQQRZVR5Q5ZBE · pith_short_8: 2U5ZQQRZ

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/2U5ZQQRZVR5Q5ZBEDEADXBD3TE \
  | 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: d53b984239ac7b0ee42419003b847b991a5ff82d823883fe88243d7bb79f9e95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84ba454ece871eea80b35573f94793daab44d79f94519252dff86257571e0e8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-09-19T17:28:06Z",
    "title_canon_sha256": "1840175c2477c39afeb99eacc8fb719e3ef5baed4920e3d2c79a6f84c15b60cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5734",
    "kind": "arxiv",
    "version": 2
  }
}