Pith Number

pith:JZXUTYFZ

pith:2009:JZXUTYFZM5V7COER7DFRHVFK7Z

not attested not anchored not stored refs pending

On Certain 5-manifolds with Fundamental Group of Order 2

Ian Hambleton, Yang Su

arxiv:0903.5244 v4 · 2009-03-30 · math.GT · 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{JZXUTYFZM5V7COER7DFRHVFK7Z}

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	2026-05-18T04:20:13.386049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e6f49e0b9676bf13891f8cb13d4aafe4aa13c183f748b29cd66ed3a109aab55

Aliases

arxiv: 0903.5244 · arxiv_version: 0903.5244v4 · doi: 10.48550/arxiv.0903.5244 · pith_short_12: JZXUTYFZM5V7 · pith_short_16: JZXUTYFZM5V7COER · pith_short_8: JZXUTYFZ

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/JZXUTYFZM5V7COER7DFRHVFK7Z \
  | 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: 4e6f49e0b9676bf13891f8cb13d4aafe4aa13c183f748b29cd66ed3a109aab55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fffc60993a9a24ffa2d60481d53043a1fc944a37ee3e3a794c38077a5fe51d0",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-03-30T15:17:39Z",
    "title_canon_sha256": "a946bb922887fde09fdb9f78be2aa55e73ca694d6810931efc91033fa1920176"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.5244",
    "kind": "arxiv",
    "version": 4
  }
}