Pith Number

pith:FLF3NJL5

pith:2016:FLF3NJL5DGKGJKHJA7NT6DPY65

not attested not anchored not stored refs pending

Small Subalgebras of Polynomial Rings and Stillman's Conjecture

Melvin Hochster, Tigran Ananyan

arxiv:1610.09268 v3 · 2016-10-28 · 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{FLF3NJL5DGKGJKHJA7NT6DPY65}

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	2026-05-17T23:40:14.543747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2acbb6a57d199464a8e907db3f0df8f7580f4f55aae2410e182008824088f257

Aliases

arxiv: 1610.09268 · arxiv_version: 1610.09268v3 · doi: 10.48550/arxiv.1610.09268 · pith_short_12: FLF3NJL5DGKG · pith_short_16: FLF3NJL5DGKGJKHJ · pith_short_8: FLF3NJL5

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/FLF3NJL5DGKGJKHJA7NT6DPY65 \
  | 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: 2acbb6a57d199464a8e907db3f0df8f7580f4f55aae2410e182008824088f257

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "877747a75859d8183f73793958532c7cc2a7429dfa7d4923e599b4310d2c03bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-10-28T15:26:55Z",
    "title_canon_sha256": "ba1895986a5c552e40150a3e77face36a79b82d175c5769ea965de3f58144dbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09268",
    "kind": "arxiv",
    "version": 3
  }
}