Pith Number

pith:PEOEEQDP

pith:2008:PEOEEQDP4R4JTXOJ2M3YY5L4IX

not attested not anchored not stored refs pending

Robust 4-manifolds and robust embeddings

Vyacheslav Krushkal

arxiv:0808.0883 v2 · 2008-08-06 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PEOEEQDP4R4JTXOJ2M3YY5L4IX}

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	2026-05-18T04:39:19.695687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

791c42406fe47899ddc9d3378c757c45f94b62d2e667877165b6dbf170755940

Aliases

arxiv: 0808.0883 · arxiv_version: 0808.0883v2 · doi: 10.48550/arxiv.0808.0883 · pith_short_12: PEOEEQDP4R4J · pith_short_16: PEOEEQDP4R4JTXOJ · pith_short_8: PEOEEQDP

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/PEOEEQDP4R4JTXOJ2M3YY5L4IX \
  | 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: 791c42406fe47899ddc9d3378c757c45f94b62d2e667877165b6dbf170755940

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "981a47987bff632c7893dab3ff76a230e3f40dfc72e41e541725a8c3b02f99df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-08-06T19:35:51Z",
    "title_canon_sha256": "1e909fa02993e6c0cbdab95474fb68e662d38d577fd43c3800d5cef3da369a01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.0883",
    "kind": "arxiv",
    "version": 2
  }
}