Pith Number

pith:QOHCGVK5

pith:2016:QOHCGVK5YKPLBPOFZ46U4DMS2B

not attested not anchored not stored refs pending

Newton-Okounkov Bodies over Discrete Valuation Rings and Linear Systems on Graphs

Eric Katz, Stefano Urbinati

arxiv:1609.06036 v3 · 2016-09-20 · 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{QOHCGVK5YKPLBPOFZ46U4DMS2B}

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	2026-05-18T00:59:19.146503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

838e23555dc29eb0bdc5cf3d4e0d92d0777c3085150233865a6f3208e429a1ed

Aliases

arxiv: 1609.06036 · arxiv_version: 1609.06036v3 · doi: 10.48550/arxiv.1609.06036 · pith_short_12: QOHCGVK5YKPL · pith_short_16: QOHCGVK5YKPLBPOF · pith_short_8: QOHCGVK5

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/QOHCGVK5YKPLBPOFZ46U4DMS2B \
  | 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: 838e23555dc29eb0bdc5cf3d4e0d92d0777c3085150233865a6f3208e429a1ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "698c7cdf46f91d1cdac54f011faab37c8d72443a839f7514c8ef8f9e4a283e06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-09-20T06:53:49Z",
    "title_canon_sha256": "71eaef6e5eebb76246f904759ff8b18349617c28157d4bd462367925269513e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06036",
    "kind": "arxiv",
    "version": 3
  }
}