Pith Number

pith:QRC7KIEB

pith:2019:QRC7KIEBUG5W2MUIKBQKX7ZPXG

not attested not anchored not stored refs pending

Positivity of Mixed Multiplicities of Filtrations

Hema Srinivasan, Jugal Verma, Steven Dale Cutkosky

arxiv:1905.01505 v1 · 2019-05-04 · math.AC · 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{QRC7KIEBUG5W2MUIKBQKX7ZPXG}

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	2026-05-17T23:46:58.371014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8445f52081a1bb6d32885060abff2fb9bcf11fdbb143e07eaa756b23be2f610b

Aliases

arxiv: 1905.01505 · arxiv_version: 1905.01505v1 · doi: 10.48550/arxiv.1905.01505 · pith_short_12: QRC7KIEBUG5W · pith_short_16: QRC7KIEBUG5W2MUI · pith_short_8: QRC7KIEB

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/QRC7KIEBUG5W2MUIKBQKX7ZPXG \
  | 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: 8445f52081a1bb6d32885060abff2fb9bcf11fdbb143e07eaa756b23be2f610b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c508c0d0f15f72d6d41dca91311eff7ed245ca548d7e800d77ee6cada5728a5c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-05-04T14:49:06Z",
    "title_canon_sha256": "f894d58e540a9be98c9240f36994dca6e6779fe069a526d444b1ba7cb63efb30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.01505",
    "kind": "arxiv",
    "version": 1
  }
}