Pith Number

pith:XEOY2TXB

pith:2016:XEOY2TXBLV5RM7AV2GMUER53RC

not attested not anchored not stored refs pending

Closed formula for univariate subresultants in multiple roots

Agnes Szanto, Carlos D'Andrea, Marcelo Valdettaro, Teresa Krick

arxiv:1612.05160 v3 · 2016-12-15 · 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{XEOY2TXBLV5RM7AV2GMUER53RC}

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	2026-05-17T23:58:43.396103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b91d8d4ee15d7b167c15d1994247bb88b225b0a073c87fce2bef5ff5c2182b0b

Aliases

arxiv: 1612.05160 · arxiv_version: 1612.05160v3 · doi: 10.48550/arxiv.1612.05160 · pith_short_12: XEOY2TXBLV5R · pith_short_16: XEOY2TXBLV5RM7AV · pith_short_8: XEOY2TXB

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/XEOY2TXBLV5RM7AV2GMUER53RC \
  | 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: b91d8d4ee15d7b167c15d1994247bb88b225b0a073c87fce2bef5ff5c2182b0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38be93ffd0ccf5f675ca61213d1cc4c34f46db69ae026afc8a27585b07a2a1b6",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-12-15T17:42:21Z",
    "title_canon_sha256": "31f48aebf85ad43960dfd120e0589d923bcca6ea0d99a2ef22904c9cc64fd411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05160",
    "kind": "arxiv",
    "version": 3
  }
}