Pith Number

pith:X4GFMPHB

pith:2016:X4GFMPHBYXDXKLGQKFWLO3JZ45

not attested not anchored not stored refs pending

Effective cones of cycles on blow-ups of projective space

Izzet Coskun, John Christian Ottem, John Lesieutre

arxiv:1603.04808 v1 · 2016-03-15 · 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{X4GFMPHBYXDXKLGQKFWLO3JZ45}

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	2026-05-18T00:56:20.887891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf0c563ce1c5c7752cd0516cb76d39e755266c408da99d6c63a08578d6b36e03

Aliases

arxiv: 1603.04808 · arxiv_version: 1603.04808v1 · doi: 10.48550/arxiv.1603.04808 · pith_short_12: X4GFMPHBYXDX · pith_short_16: X4GFMPHBYXDXKLGQ · pith_short_8: X4GFMPHB

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/X4GFMPHBYXDXKLGQKFWLO3JZ45 \
  | 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: bf0c563ce1c5c7752cd0516cb76d39e755266c408da99d6c63a08578d6b36e03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2d9bd7508de7786977bce82c6c6fecf13f5b46e478e2770c9fc67edbf48f82e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-03-15T18:37:54Z",
    "title_canon_sha256": "9d6e27edfcf2e998fe384e1b92ad53f386afae4808d81c4fde8094a751d7e848"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04808",
    "kind": "arxiv",
    "version": 1
  }
}