Pith Number

pith:B7LO7JX5

pith:2017:B7LO7JX54X5FYBVP4AERW5YRWW

not attested not anchored not stored refs pending

Effective generation and twisted weak positivity of direct images

Takumi Murayama, Yajnaseni Dutta

arxiv:1712.08723 v3 · 2017-12-23 · 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{B7LO7JX54X5FYBVP4AERW5YRWW}

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	2026-05-17T23:46:50.507029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fd6efa6fde5fa5c06afe0091b7711b5b59c4df8061a069e89b7f1feead8f6a8

Aliases

arxiv: 1712.08723 · arxiv_version: 1712.08723v3 · doi: 10.48550/arxiv.1712.08723 · pith_short_12: B7LO7JX54X5F · pith_short_16: B7LO7JX54X5FYBVP · pith_short_8: B7LO7JX5

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/B7LO7JX54X5FYBVP4AERW5YRWW \
  | 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: 0fd6efa6fde5fa5c06afe0091b7711b5b59c4df8061a069e89b7f1feead8f6a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c40e2bca93ab6792449101ab60335ad664716555a4c5ec307309c368e4a3a4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-23T06:31:02Z",
    "title_canon_sha256": "8a8c8bbe05513a69b8d90c79726b2e9643ad9ead2e1a8d9658ced9e94e52ee3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08723",
    "kind": "arxiv",
    "version": 3
  }
}