Pith Number

pith:D3NRQKMS

pith:2014:D3NRQKMSKPRZB4CH4RAGQTCMUK

not attested not anchored not stored refs pending

Eilenberg swindles and higher large scale homology of products of trees

Francesca Diana, Piotr W. Nowak

arxiv:1409.5219 v3 · 2014-09-18 · math.GT · math.AT · 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{D3NRQKMSKPRZB4CH4RAGQTCMUK}

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	2026-05-18T01:20:26.425109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1edb18299253e390f047e440684c4ca2a54a88722f78b882b592536198c4a55e

Aliases

arxiv: 1409.5219 · arxiv_version: 1409.5219v3 · doi: 10.48550/arxiv.1409.5219 · pith_short_12: D3NRQKMSKPRZ · pith_short_16: D3NRQKMSKPRZB4CH · pith_short_8: D3NRQKMS

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/D3NRQKMSKPRZB4CH4RAGQTCMUK \
  | 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: 1edb18299253e390f047e440684c4ca2a54a88722f78b882b592536198c4a55e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f382f6b774e710e409624875d52f3a1ee47cd271aa116115cea9722eb6d630df",
    "cross_cats_sorted": [
      "math.AT",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-09-18T08:02:16Z",
    "title_canon_sha256": "61b07332779ffe54b94f3f1dadfb98b7d79d98c38035a9e1cb21185d5f244fad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5219",
    "kind": "arxiv",
    "version": 3
  }
}