Pith Number

pith:BPY5U5Z6

pith:2012:BPY5U5Z6AMXHFK5CJTGIIK7RY3

not attested not anchored not stored refs pending

A rank computation problem related to the HK function of trinomial hypersurfaces

Shyamashree Upadhyay

arxiv:1210.2885 v1 · 2012-10-10 · math.CO · 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{BPY5U5Z6AMXHFK5CJTGIIK7RY3}

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	2026-05-18T03:43:31.240929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bf1da773e032e72aba24ccc842bf1c6d2c5be9c84b2434b3adba6e037d9a6d5

Aliases

arxiv: 1210.2885 · arxiv_version: 1210.2885v1 · doi: 10.48550/arxiv.1210.2885 · pith_short_12: BPY5U5Z6AMXH · pith_short_16: BPY5U5Z6AMXHFK5C · pith_short_8: BPY5U5Z6

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/BPY5U5Z6AMXHFK5CJTGIIK7RY3 \
  | 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: 0bf1da773e032e72aba24ccc842bf1c6d2c5be9c84b2434b3adba6e037d9a6d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94e06e84ed5281f3b1028d2852a460214b5b280cfbab67903861eea5cdd49594",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-10T12:25:09Z",
    "title_canon_sha256": "53f663ab982ece1eaca3544041a81662dfe1e47a8a223cd468e1bd7e50c97fb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2885",
    "kind": "arxiv",
    "version": 1
  }
}