Pith Number

pith:NKFXNPQX

pith:2017:NKFXNPQXQL46Z4ETUXKVYVA4AC

not attested not anchored not stored refs pending

Local vanishing and Hodge filtration for rational singularities

Mihnea Popa, Mircea Mustata, Sebastian Olano

arxiv:1703.06704 v2 · 2017-03-20 · 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{NKFXNPQXQL46Z4ETUXKVYVA4AC}

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	2026-05-18T00:23:09.057150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a8b76be1782f9ecf093a5d55c541c00b975a46ea91d29ec7f5848cfc31de5f0

Aliases

arxiv: 1703.06704 · arxiv_version: 1703.06704v2 · doi: 10.48550/arxiv.1703.06704 · pith_short_12: NKFXNPQXQL46 · pith_short_16: NKFXNPQXQL46Z4ET · pith_short_8: NKFXNPQX

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/NKFXNPQXQL46Z4ETUXKVYVA4AC \
  | 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: 6a8b76be1782f9ecf093a5d55c541c00b975a46ea91d29ec7f5848cfc31de5f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1b8369ad38f6d84cbaea1af2bf3144016767ad8fb4622831878b01f156070fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-03-20T12:20:02Z",
    "title_canon_sha256": "57970b8db3fad2d056ba61d9c0b9bef5f87f2404b6b99a1a09127f3802cf5bae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06704",
    "kind": "arxiv",
    "version": 2
  }
}