Pith Number

pith:D6MQSVLM

pith:2019:D6MQSVLMQIPRI4PUN43FX5PHJE

not attested not anchored not stored refs pending

On 2-knots and connected sums with projective planes

Vincent Longo

arxiv:1901.10972 v1 · 2019-01-30 · 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{D6MQSVLMQIPRI4PUN43FX5PHJE}

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	2026-05-17T23:55:05.628024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f9909556c821f1471f46f365bf5e749025984a8f33f359ebaa3848e3ed1a39d

Aliases

arxiv: 1901.10972 · arxiv_version: 1901.10972v1 · doi: 10.48550/arxiv.1901.10972 · pith_short_12: D6MQSVLMQIPR · pith_short_16: D6MQSVLMQIPRI4PU · pith_short_8: D6MQSVLM

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/D6MQSVLMQIPRI4PUN43FX5PHJE \
  | 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: 1f9909556c821f1471f46f365bf5e749025984a8f33f359ebaa3848e3ed1a39d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ccad08995a5e2ee6a117ba5416592c00245a238a58f8ccf38f04556702ff752",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-01-30T17:50:42Z",
    "title_canon_sha256": "79eecac13c47e993c4f73f6cb8548a7ab6325a9202a1e49f821072abaf3ce245"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.10972",
    "kind": "arxiv",
    "version": 1
  }
}