Pith Number

pith:XACJEK5K

pith:2018:XACJEK5KCPPUG4K4NKFCSLJYIU

not attested not anchored not stored refs pending

Homotopy groups of highly connected Poincare duality complexes

Piotr Beben, Stephen Theriault

arxiv:1812.05344 v2 · 2018-12-13 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XACJEK5KCPPUG4K4NKFCSLJYIU}

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	2026-07-05T04:00:10.247677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b804922baa13df43715c6a8a292d3845120c1051775e6f548e1d0a4bfffaa222

Aliases

arxiv: 1812.05344 · arxiv_version: 1812.05344v2 · doi: 10.48550/arxiv.1812.05344 · pith_short_12: XACJEK5KCPPU · pith_short_16: XACJEK5KCPPUG4K4 · pith_short_8: XACJEK5K

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/XACJEK5KCPPUG4K4NKFCSLJYIU \
  | 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: b804922baa13df43715c6a8a292d3845120c1051775e6f548e1d0a4bfffaa222

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72c6e945b247f3f08035a925b7e1c64844d981b28d9517df54f8d89db54c443e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-12-13T10:04:38Z",
    "title_canon_sha256": "4e602b4c7df808dac240bddb6c3fa731509bac9b7218cb037485a0df952305cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05344",
    "kind": "arxiv",
    "version": 2
  }
}