Pith Number

pith:RBSTGJC5

pith:2016:RBSTGJC5ELRXXGIUJOZ6GEYXIE

not attested not anchored not stored refs pending

The space of short ropes and the classifying space of the space of long knots

Keiichi Sakai, Syunji Moriya

arxiv:1610.03907 v3 · 2016-10-13 · math.AT · 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{RBSTGJC5ELRXXGIUJOZ6GEYXIE}

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	2026-05-18T00:07:01.270269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

886533245d22e37b99144bb3e313174113363da02a4a0e8881f7709c10ce82b3

Aliases

arxiv: 1610.03907 · arxiv_version: 1610.03907v3 · doi: 10.48550/arxiv.1610.03907 · pith_short_12: RBSTGJC5ELRX · pith_short_16: RBSTGJC5ELRXXGIU · pith_short_8: RBSTGJC5

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/RBSTGJC5ELRXXGIUJOZ6GEYXIE \
  | 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: 886533245d22e37b99144bb3e313174113363da02a4a0e8881f7709c10ce82b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6171e3ed379b067979650aad04284f8d2fb80303e39c733f7ba5589a155b07ba",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-10-13T01:26:45Z",
    "title_canon_sha256": "079ce99c51b89e30593419964660ac09def8ee0af2fa33526f952bd87d877211"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03907",
    "kind": "arxiv",
    "version": 3
  }
}