Pith Number

pith:4OOFAZQ3

pith:2011:4OOFAZQ3JOKDESG3GW4RKWK7BJ

not attested not anchored not stored refs pending

Characterizations of trivial maps in 3-dimensional real Milnor fibers

Denise De Mattos, Maria A. P. Hohlenwerger, Raimundo N. Ara\'ujo dos Santos, Tacina O. Souza

arxiv:1110.5961 v1 · 2011-10-27 · 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{4OOFAZQ3JOKDESG3GW4RKWK7BJ}

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	2026-05-18T01:15:32.817400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e39c50661b4b943248db35b915595f0a45f3f0a5d6f171ffeaad4b6746346358

Aliases

arxiv: 1110.5961 · arxiv_version: 1110.5961v1 · doi: 10.48550/arxiv.1110.5961 · pith_short_12: 4OOFAZQ3JOKD · pith_short_16: 4OOFAZQ3JOKDESG3 · pith_short_8: 4OOFAZQ3

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/4OOFAZQ3JOKDESG3GW4RKWK7BJ \
  | 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: e39c50661b4b943248db35b915595f0a45f3f0a5d6f171ffeaad4b6746346358

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4be80ec1afe22c251df28adb923a8f315ab631c7f4dc56a56e022ef114e1cffa",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-10-27T02:04:05Z",
    "title_canon_sha256": "afccafc47c08655b7fdb2a7af40d13b3cb489ae3bb0bfa3f094d0c6e3a25ca58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5961",
    "kind": "arxiv",
    "version": 1
  }
}