Pith Number

pith:AACSUGMY

pith:2018:AACSUGMYWCTQRHW56DTXLOZJMB

not attested not anchored not stored refs pending

On the nontrivial solvability of systems of homogeneous linear equations over $\mathbb Z$ in ZFC

Jan \v{S}aroch

arxiv:1812.06958 v1 · 2018-12-17 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AACSUGMYWCTQRHW56DTXLOZJMB}

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	2026-05-17T23:58:09.018970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00052a1998b0a7089eddf0e775bb296078c47ed468b471fdde49019a9e480316

Aliases

arxiv: 1812.06958 · arxiv_version: 1812.06958v1 · doi: 10.48550/arxiv.1812.06958 · pith_short_12: AACSUGMYWCTQ · pith_short_16: AACSUGMYWCTQRHW5 · pith_short_8: AACSUGMY

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/AACSUGMYWCTQRHW56DTXLOZJMB \
  | 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: 00052a1998b0a7089eddf0e775bb296078c47ed468b471fdde49019a9e480316

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b34cf666fd199ec8394bd11ba0633912a7ce56ffc96da0bfb8df067f61f71d95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-12-17T18:58:08Z",
    "title_canon_sha256": "7e82449f2f3f77f7a1d42c3a5cec2fe409d8db5fb82545cb8a5f3d49d81f71d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06958",
    "kind": "arxiv",
    "version": 1
  }
}