Pith Number

pith:GFNNSPMM

pith:2015:GFNNSPMMDW43GZPXXGWYWM7TLK

not attested not anchored not stored refs pending

The nef cone of the moduli space of sheaves and strong Bogomolov inequalities

Izzet Coskun, Jack Huizenga

arxiv:1512.02661 v2 · 2015-12-08 · 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{GFNNSPMMDW43GZPXXGWYWM7TLK}

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	2026-05-18T01:19:19.180856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

315ad93d8c1db9b365f7b9ad8b33f35abc846f586a9925380ce189139c8a3825

Aliases

arxiv: 1512.02661 · arxiv_version: 1512.02661v2 · doi: 10.48550/arxiv.1512.02661 · pith_short_12: GFNNSPMMDW43 · pith_short_16: GFNNSPMMDW43GZPX · pith_short_8: GFNNSPMM

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/GFNNSPMMDW43GZPXXGWYWM7TLK \
  | 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: 315ad93d8c1db9b365f7b9ad8b33f35abc846f586a9925380ce189139c8a3825

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2536213fa962da054fd08d49ff8524bd987719b0f0b95cba453eb3dceef4b6f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-08T21:06:15Z",
    "title_canon_sha256": "6c4c0d5f57639867c80f8e1c01952505d1817ebca7fd287b3d497c4a96429dcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02661",
    "kind": "arxiv",
    "version": 2
  }
}