Pith Number

pith:B2H3UZ5X

pith:2021:B2H3UZ5XHU53DICVCN4LXPX2IE

not attested not anchored not stored refs pending

On facets of the Newton polytope for the discriminant of the polynomial system

Ekaterina Kleshkova, Irina Antipova

arxiv:2107.04978 v1 · 2021-07-11 · 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{B2H3UZ5XHU53DICVCN4LXPX2IE}

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	2026-07-05T02:56:44.991127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e8fba67b73d3bb1a0551378bbbefa411f51b357fd070ceacaeb9e8713636a73

Aliases

arxiv: 2107.04978 · arxiv_version: 2107.04978v1 · doi: 10.48550/arxiv.2107.04978 · pith_short_12: B2H3UZ5XHU53 · pith_short_16: B2H3UZ5XHU53DICV · pith_short_8: B2H3UZ5X

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/B2H3UZ5XHU53DICVCN4LXPX2IE \
  | 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: 0e8fba67b73d3bb1a0551378bbbefa411f51b357fd070ceacaeb9e8713636a73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67087ab3fe6144ed0d39bb7041c0db5dd2a24ce3f175b93cbe3da1767f20f1be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-07-11T06:08:02Z",
    "title_canon_sha256": "7229ceda5d5240c663f9edad774aabf752fdbf52ff9383f4b0bd37b5c14815f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.04978",
    "kind": "arxiv",
    "version": 1
  }
}