Pith Number

pith:C5ZV5AHC

pith:2016:C5ZV5AHC6FG3E4VH4OEPYCMRH6

not attested not anchored not stored refs pending

Spaces of Sums of Powers and Real Rank Boundaries

Hyunsuk Moon, Mateusz Micha{\l}ek

arxiv:1612.07900 v1 · 2016-12-23 · math.AG · 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{C5ZV5AHC6FG3E4VH4OEPYCMRH6}

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	2026-05-18T00:54:05.392054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17735e80e2f14db272a7e388fc09913fb8d27487af0df86158585e49f3096a2b

Aliases

arxiv: 1612.07900 · arxiv_version: 1612.07900v1 · doi: 10.48550/arxiv.1612.07900 · pith_short_12: C5ZV5AHC6FG3 · pith_short_16: C5ZV5AHC6FG3E4VH · pith_short_8: C5ZV5AHC

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/C5ZV5AHC6FG3E4VH4OEPYCMRH6 \
  | 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: 17735e80e2f14db272a7e388fc09913fb8d27487af0df86158585e49f3096a2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4ab60c46e3cdc27bdbdbeb1036e40993b17e550200606ef218579cc2b6ea19b",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-23T08:20:31Z",
    "title_canon_sha256": "4ee33b53e7449f71164c95fc9f9301a7ca3a62c24cc1c808d11f0db37247de04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07900",
    "kind": "arxiv",
    "version": 1
  }
}