Pith Number

pith:4HY6C7UZ

pith:2016:4HY6C7UZXTMULFEQWEYRVCSGGV

not attested not anchored not stored refs pending

Milnor fibrations and regularity conditions for real analytic mappings

J. Seade, J. Snoussi, K. Shabbir

arxiv:1604.05290 v1 · 2016-04-18 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HY6C7UZXTMULFEQWEYRVCSGGV}

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	2026-05-18T01:16:55.021961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1f1e17e99bcd9459490b1311a8a4635674ce416ffd08ff59ba8187af010c5ea

Aliases

arxiv: 1604.05290 · arxiv_version: 1604.05290v1 · doi: 10.48550/arxiv.1604.05290 · pith_short_12: 4HY6C7UZXTMU · pith_short_16: 4HY6C7UZXTMULFEQ · pith_short_8: 4HY6C7UZ

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/4HY6C7UZXTMULFEQWEYRVCSGGV \
  | 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: e1f1e17e99bcd9459490b1311a8a4635674ce416ffd08ff59ba8187af010c5ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e510f272830ca8114c7fe10689716cf530deb58245c79146e6b560e6dcef38a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-04-18T19:42:53Z",
    "title_canon_sha256": "d6e024942d9dba0ed9b9be5395a40cf87b1dfb64d13ef974ec500c33625f1628"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05290",
    "kind": "arxiv",
    "version": 1
  }
}