Pith Number

pith:VRCNXOSC

pith:2010:VRCNXOSC6OSICLL7JKM3O3K6WV

not attested not anchored not stored refs pending

Embedding 3-manifolds with boundary into closed 3-manifolds

Dmitry Tonkonog

arxiv:1003.3029 v2 · 2010-03-15 · 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{VRCNXOSC6OSICLL7JKM3O3K6WV}

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	2026-05-18T01:13:05.334990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac44dbba42f3a4812d7f4a99b76d5eb5528a161e20b38ac0a6c38eee756dc148

Aliases

arxiv: 1003.3029 · arxiv_version: 1003.3029v2 · doi: 10.48550/arxiv.1003.3029 · pith_short_12: VRCNXOSC6OSI · pith_short_16: VRCNXOSC6OSICLL7 · pith_short_8: VRCNXOSC

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/VRCNXOSC6OSICLL7JKM3O3K6WV \
  | 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: ac44dbba42f3a4812d7f4a99b76d5eb5528a161e20b38ac0a6c38eee756dc148

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cdeda76712553f8e3da7284fd5e297311b4c3ae48bc32444ff01eb1695ed278",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-03-15T20:56:52Z",
    "title_canon_sha256": "730cdf13afa9b89fbe3abcb994aae92ff7d1451830db18084243403b9920128f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3029",
    "kind": "arxiv",
    "version": 2
  }
}