Pith Number

pith:5VARTJTF

pith:2011:5VARTJTFTWEEZ2VUUPBX6UFCWX

not attested not anchored not stored refs pending

A Topological Splitting Theorem for Poincare Duality Groups and High-dimensional Manifolds

Aditi Kar, Graham A. Niblo

arxiv:1110.2041 v3 · 2011-10-10 · 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{5VARTJTFTWEEZ2VUUPBX6UFCWX}

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	2026-05-18T01:22:28.888513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed4119a6659d884ceab4a3c37f50a2b5df7c6f6c66ea71197c61ba2e6847f7ed

Aliases

arxiv: 1110.2041 · arxiv_version: 1110.2041v3 · doi: 10.48550/arxiv.1110.2041 · pith_short_12: 5VARTJTFTWEE · pith_short_16: 5VARTJTFTWEEZ2VU · pith_short_8: 5VARTJTF

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/5VARTJTFTWEEZ2VUUPBX6UFCWX \
  | 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: ed4119a6659d884ceab4a3c37f50a2b5df7c6f6c66ea71197c61ba2e6847f7ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41219252fbaf562cf47755e5627a7873635125fc24bc1b16ecb1c0b9d25efb92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-10-10T13:50:47Z",
    "title_canon_sha256": "86fafd440741a732e17fb33c9e0fba15b7c24984614624f18a760a6f463ec54d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2041",
    "kind": "arxiv",
    "version": 3
  }
}