Pith Number

pith:VRXTWXZR

pith:2016:VRXTWXZRMNPVRKWZQCG6DLV6GM

not attested not anchored not stored refs pending

Thom irregularity and Milnor tube fibrations

A.J. Parameswaran, M. Tibar

arxiv:1606.09008 v8 · 2016-06-29 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRXTWXZRMNPVRKWZQCG6DLV6GM}

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	2026-05-17T23:47:31.884489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac6f3b5f31635f58aad9808de1aebe33218a564c9129ff8be77d69d1538d3db0

Aliases

arxiv: 1606.09008 · arxiv_version: 1606.09008v8 · doi: 10.48550/arxiv.1606.09008 · pith_short_12: VRXTWXZRMNPV · pith_short_16: VRXTWXZRMNPVRKWZ · pith_short_8: VRXTWXZR

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/VRXTWXZRMNPVRKWZQCG6DLV6GM \
  | 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: ac6f3b5f31635f58aad9808de1aebe33218a564c9129ff8be77d69d1538d3db0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "883e9c28fc9a4244517dc890604c8c261520289845c4b8d7a0c3c797b81c079f",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-06-29T09:02:12Z",
    "title_canon_sha256": "5e19af7d76069231a986b973d33db8ad7d79aff576f970c92756e1036d10a9e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.09008",
    "kind": "arxiv",
    "version": 8
  }
}