Pith Number

pith:4U6BXAVF

pith:2016:4U6BXAVFUHVVJYKN4EFNW2D2KO

not attested not anchored not stored refs pending

The existence of continuous weak selections and orderability-type properties in products and filter spaces

Dmitri Shakhmatov, Koichi Motooka, Takamitsu Yamauchi

arxiv:1608.07144 v2 · 2016-08-25 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4U6BXAVFUHVVJYKN4EFNW2D2KO}

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	2026-05-18T00:32:36.441184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e53c1b82a5a1eb54e14de10adb687a53bcc0f73ebdd19b17f49353430240319e

Aliases

arxiv: 1608.07144 · arxiv_version: 1608.07144v2 · doi: 10.48550/arxiv.1608.07144 · pith_short_12: 4U6BXAVFUHVV · pith_short_16: 4U6BXAVFUHVVJYKN · pith_short_8: 4U6BXAVF

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/4U6BXAVFUHVVJYKN4EFNW2D2KO \
  | 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: e53c1b82a5a1eb54e14de10adb687a53bcc0f73ebdd19b17f49353430240319e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdc9a018dd89a592233c51f6928b097a3a1a07a131d18c6cbea6f0bb0f32dc4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-08-25T13:48:42Z",
    "title_canon_sha256": "326c28d6f9e79d9c7e225514d51913b4949ad570f7496223e327e6320faa9afd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07144",
    "kind": "arxiv",
    "version": 2
  }
}