Pith Number

pith:LLR6EYRN

pith:2014:LLR6EYRNUGPUQ7YXJ37CUQGWJW

not attested not anchored not stored refs pending

A necessary condition for the tightness of odd-dimensional combinatorial manifolds

Jonathan Spreer

arxiv:1405.5962 v1 · 2014-05-23 · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLR6EYRNUGPUQ7YXJ37CUQGWJW}

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	2026-05-18T00:02:36.913115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ae3e2622da19f487f174efe2a40d64d8280bf6e6c5d11fc71b697e467b6a9bf

Aliases

arxiv: 1405.5962 · arxiv_version: 1405.5962v1 · doi: 10.48550/arxiv.1405.5962 · pith_short_12: LLR6EYRNUGPU · pith_short_16: LLR6EYRNUGPUQ7YX · pith_short_8: LLR6EYRN

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/LLR6EYRNUGPUQ7YXJ37CUQGWJW \
  | 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: 5ae3e2622da19f487f174efe2a40d64d8280bf6e6c5d11fc71b697e467b6a9bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d352e9f577a2bf0d474028b3911d968446cd7e950848db67632bf068541e2b71",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-23T05:08:38Z",
    "title_canon_sha256": "bcc71001f2ec2235b18dfdab75a48921fc0ad7299ff9262c57f878205265b173"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5962",
    "kind": "arxiv",
    "version": 1
  }
}