Pith Number

pith:IEEBVESG

pith:2017:IEEBVESGJRSQ43LL4DTR6HSIKJ

not attested not anchored not stored refs pending

Singularities of General Fibers and the LMMP

Joe Waldron, Zsolt Patakfalvi

arxiv:1708.04268 v2 · 2017-08-14 · 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{IEEBVESGJRSQ43LL4DTR6HSIKJ}

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.

Cited by

1 paper in Pith

Pseudo-effectivity of the relative canonical divisor and uniruledness in positive characteristic

Receipt and verification

First computed	2026-05-18T00:07:18.511104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41081a92464c650e6d6be0e71f1e485255557ece0b3b57564bfde36fc8df1718

Aliases

arxiv: 1708.04268 · arxiv_version: 1708.04268v2 · doi: 10.48550/arxiv.1708.04268 · pith_short_12: IEEBVESGJRSQ · pith_short_16: IEEBVESGJRSQ43LL · pith_short_8: IEEBVESG

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/IEEBVESGJRSQ43LL4DTR6HSIKJ \
  | 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: 41081a92464c650e6d6be0e71f1e485255557ece0b3b57564bfde36fc8df1718

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "988901d1dac0c81c1b4b72bce1d5335023086772c82a9ec89c4e2c60f93da1b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-08-14T18:40:02Z",
    "title_canon_sha256": "af052cbb8c63b651066b33bf32f138deb475095aefdf43aa99b3e05b810e6bb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04268",
    "kind": "arxiv",
    "version": 2
  }
}