Pith Number

pith:EKP5UZWL

pith:2016:EKP5UZWLBT3DPYSTGESJHSTYIQ

not attested not anchored not stored refs pending

Restriction, subadditivity, and semicontinuity theorems for Hodge ideals

Mihnea Popa, Mircea Mustata

arxiv:1606.05659 v2 · 2016-06-17 · 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{EKP5UZWLBT3DPYSTGESJHSTYIQ}

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	2026-05-18T00:52:44.236418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

229fda66cb0cf637e253312493ca784401b1e66384624f8c6f08cc742233e1da

Aliases

arxiv: 1606.05659 · arxiv_version: 1606.05659v2 · doi: 10.48550/arxiv.1606.05659 · pith_short_12: EKP5UZWLBT3D · pith_short_16: EKP5UZWLBT3DPYST · pith_short_8: EKP5UZWL

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/EKP5UZWLBT3DPYSTGESJHSTYIQ \
  | 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: 229fda66cb0cf637e253312493ca784401b1e66384624f8c6f08cc742233e1da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1af6ad0f9180f197b5a5a7a83dd1e7f565f566c574aebb62e8a767bd7d079d33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-06-17T20:09:24Z",
    "title_canon_sha256": "325e2bfc3faa1612d2e818f9029f227b6c04108301ac7ca5e1cd1cae808ab291"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05659",
    "kind": "arxiv",
    "version": 2
  }
}