Pith Number

pith:RVGTTX7O

pith:2016:RVGTTX7OLWC4S5SIW3Q7WP3FG7

not attested not anchored not stored refs pending

A generalized lower bound theorem for balanced manifolds

Connor Sawaske, Isabella Novik, Martina Juhnke-Kubitzke, Satoshi Murai

arxiv:1608.07783 v1 · 2016-08-28 · 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{RVGTTX7OLWC4S5SIW3Q7WP3FG7}

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	2026-05-18T01:07:49.932988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d4d39dfee5d85c97648b6e1fb3f6537e89ff18155bcbad7659a95becf510686

Aliases

arxiv: 1608.07783 · arxiv_version: 1608.07783v1 · doi: 10.48550/arxiv.1608.07783 · pith_short_12: RVGTTX7OLWC4 · pith_short_16: RVGTTX7OLWC4S5SI · pith_short_8: RVGTTX7O

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/RVGTTX7OLWC4S5SIW3Q7WP3FG7 \
  | 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: 8d4d39dfee5d85c97648b6e1fb3f6537e89ff18155bcbad7659a95becf510686

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9cf9691a754cc51ac08cc63f47a3a5f16055606cbc53f7a255c3919b1baa808",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-28T08:13:49Z",
    "title_canon_sha256": "dd275901dcb0d9029abf19ce1741ae868a65ddb80f4537e3e3ee18ffcb8f8b9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07783",
    "kind": "arxiv",
    "version": 1
  }
}