Pith Number

pith:UBT63I6G

pith:2016:UBT63I6GH7A7EYOZ4GFTXIU3LR

not attested not anchored not stored refs pending

Khovanskii bases, higher rank valuations and tropical geometry

Christopher Manon, Kiumars Kaveh

arxiv:1610.00298 v4 · 2016-10-02 · math.AG · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UBT63I6GH7A7EYOZ4GFTXIU3LR}

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	2026-05-17T23:46:36.586263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a067eda3c63fc1f261d9e18b3ba29b5c7fa2ce2af50538592ea982a0ad6ae604

Aliases

arxiv: 1610.00298 · arxiv_version: 1610.00298v4 · doi: 10.48550/arxiv.1610.00298 · pith_short_12: UBT63I6GH7A7 · pith_short_16: UBT63I6GH7A7EYOZ · pith_short_8: UBT63I6G

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/UBT63I6GH7A7EYOZ4GFTXIU3LR \
  | 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: a067eda3c63fc1f261d9e18b3ba29b5c7fa2ce2af50538592ea982a0ad6ae604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4e2a9bda535e6c517be1644bb9f4aa892c1c806d2cbea584c14fdc09e25ef49",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-10-02T16:02:54Z",
    "title_canon_sha256": "d248abf3a1183ea5adc0cfbe0f437f385e97eb17ea58f9639a67ce150d822f4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00298",
    "kind": "arxiv",
    "version": 4
  }
}