Pith Number

pith:MKBS3XW7

pith:2013:MKBS3XW77XPYDHBXUNIEDKVHV7

not attested not anchored not stored refs pending

Strong cylindricality and the monodromy of bundles

Kazuhiro Ichihara, Tsuyoshi Kobayashi, Yo'av Rieck

arxiv:1309.3165 v2 · 2013-09-12 · 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{MKBS3XW77XPYDHBXUNIEDKVHV7}

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	2026-05-18T02:56:51.839229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62832ddedffddf819c37a35041aaa7afc31d367988cb708d3f5dffb16640076c

Aliases

arxiv: 1309.3165 · arxiv_version: 1309.3165v2 · doi: 10.48550/arxiv.1309.3165 · pith_short_12: MKBS3XW77XPY · pith_short_16: MKBS3XW77XPYDHBX · pith_short_8: MKBS3XW7

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/MKBS3XW77XPYDHBXUNIEDKVHV7 \
  | 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: 62832ddedffddf819c37a35041aaa7afc31d367988cb708d3f5dffb16640076c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7951abc394f4d4226b156e45678954bb366370d9dfd2f7f31e3586d88b415b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-09-12T14:19:39Z",
    "title_canon_sha256": "517b935a15e135e072ef22aac7fc92be5ddd5f9701f76f75306225e05603350f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3165",
    "kind": "arxiv",
    "version": 2
  }
}