Pith Number

pith:PCGO4H7C

pith:2024:PCGO4H7C6ZUQ5YYHNBTBCTV4GD

not attested not anchored not stored refs pending

Verbal ideals and unobstructed complex parallelisable nilmanifolds

Konstantin Wehler, Matthias Paulsen, S\"onke Rollenske

arxiv:2411.17560 v1 · 2024-11-26 · math.DG · math.AG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCGO4H7C6ZUQ5YYHNBTBCTV4GD}

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	2026-06-08T01:03:42.396375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

788cee1fe2f6690ee3076866114ebc30ea8bcf73e9770eb54a6db1bd4f88b315

Aliases

arxiv: 2411.17560 · arxiv_version: 2411.17560v1 · doi: 10.48550/arxiv.2411.17560 · pith_short_12: PCGO4H7C6ZUQ · pith_short_16: PCGO4H7C6ZUQ5YYH · pith_short_8: PCGO4H7C

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/PCGO4H7C6ZUQ5YYHNBTBCTV4GD \
  | 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: 788cee1fe2f6690ee3076866114ebc30ea8bcf73e9770eb54a6db1bd4f88b315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc8cdb776b04a987fbc412f26150da9da06527c9ea78ca343f89dea4d1bc2c7e",
    "cross_cats_sorted": [
      "math.AG",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-11-26T16:21:34Z",
    "title_canon_sha256": "7a7ed911d690b03c22b0f48bf96df2fffe96b1da5c979626e86d955eb5fc0e4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17560",
    "kind": "arxiv",
    "version": 1
  }
}