Pith Number

pith:VGW66LLZ

pith:2016:VGW66LLZ3QXLN7L7GHOTY3PCOX

not attested not anchored not stored refs pending

A Differential Complex for CAT(0) Cubical Spaces

Erik Guentner, Jacek Brodzki, Nigel Higson

arxiv:1610.05069 v1 · 2016-10-17 · math.KT · 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{VGW66LLZ3QXLN7L7GHOTY3PCOX}

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	2026-05-18T01:02:06.317709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9adef2d79dc2eb6fd7f31dd3c6de275df58188538c9f7a8673a0cdb3fc72791

Aliases

arxiv: 1610.05069 · arxiv_version: 1610.05069v1 · doi: 10.48550/arxiv.1610.05069 · pith_short_12: VGW66LLZ3QXL · pith_short_16: VGW66LLZ3QXLN7L7 · pith_short_8: VGW66LLZ

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/VGW66LLZ3QXLN7L7GHOTY3PCOX \
  | 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: a9adef2d79dc2eb6fd7f31dd3c6de275df58188538c9f7a8673a0cdb3fc72791

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e3849c0cfe036587b70ad1381470cde34c1e1dfe826c2ffb57ff76603252f04",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-10-17T12:15:28Z",
    "title_canon_sha256": "9339643e3e19fce140d62d627325cfdb07c66ae3e36db9ccfc60ef5838cf024a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05069",
    "kind": "arxiv",
    "version": 1
  }
}