Pith Number

pith:P2Y5OZJC

pith:2010:P2Y5OZJCM2DN7XKLT4HOO2YDPU

not attested not anchored not stored refs pending

Subresultants in Multiple Roots

Agnes Szanto, Carlos D'Andrea, Teresa Krick

arxiv:1012.4615 v2 · 2010-12-21 · 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{P2Y5OZJCM2DN7XKLT4HOO2YDPU}

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	2026-05-18T03:41:32.422490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eb1d765226686dfdd4b9f0ee76b037d281e9c3dd19b5c1aa4e03dba528b08d9

Aliases

arxiv: 1012.4615 · arxiv_version: 1012.4615v2 · doi: 10.48550/arxiv.1012.4615 · pith_short_12: P2Y5OZJCM2DN · pith_short_16: P2Y5OZJCM2DN7XKL · pith_short_8: P2Y5OZJC

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/P2Y5OZJCM2DN7XKLT4HOO2YDPU \
  | 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: 7eb1d765226686dfdd4b9f0ee76b037d281e9c3dd19b5c1aa4e03dba528b08d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a382d2ad5aab6b83839dc0f6636493e4acc438702e17661df7c7f36ecbc48e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-12-21T11:34:41Z",
    "title_canon_sha256": "bc5ea8e1754f34bfe2d9c280e229b6ea01672590a2f0bf3b4deec24351626dc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4615",
    "kind": "arxiv",
    "version": 2
  }
}