Pith Number

pith:L6W2VDTU

pith:2017:L6W2VDTUD5DRWFIM27XD66WB2F

not attested not anchored not stored refs pending

Examples of finite free complexes of small rank and small homology

Mark E. Walker, Srikanth B. Iyengar

arxiv:1706.02156 v2 · 2017-06-07 · math.AC · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L6W2VDTUD5DRWFIM27XD66WB2F}

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	2026-05-18T00:16:19.507166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fadaa8e741f471b150cd7ee3f7ac1d17eb88600bb134169d69058e6a34a3dce

Aliases

arxiv: 1706.02156 · arxiv_version: 1706.02156v2 · doi: 10.48550/arxiv.1706.02156 · pith_short_12: L6W2VDTUD5DR · pith_short_16: L6W2VDTUD5DRWFIM · pith_short_8: L6W2VDTU

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/L6W2VDTUD5DRWFIM27XD66WB2F \
  | 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: 5fadaa8e741f471b150cd7ee3f7ac1d17eb88600bb134169d69058e6a34a3dce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52f7aab1e80fd8752118e238b0b8a5939b6179ad103ecdeb2aa4aaae692cde8e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-06-07T12:37:19Z",
    "title_canon_sha256": "6f20a21df4cfba0e82e11c9b10127c34d55e6f1faab9b49deb3f2d8738a0d469"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02156",
    "kind": "arxiv",
    "version": 2
  }
}